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Finding the Fourth Proportional to 928,094,460.57, 1,284,142,978.08 and 809,264,842.11

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Solution

The fourth proportional to 928,094,460.57, 1,284,142,978.08 and 809,264,842.11 is: 1,119,726,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,094,460.57 : 1,284,142,978.08 = 809,264,842.11 : x
  2. Step 2: Convert to fraction form
    928,094,460.57/1,284,142,978.08 = 809,264,842.11/x
  3. Step 3: Cross multiply
    928,094,460.57x = 1,284,142,978.08 × 809,264,842.11
  4. Step 4: Simplify right side
    928,094,460.57x = 1,039,211,764,402,576,384
  5. Step 5: Solve for x
    x = 1,039,211,764,402,576,384/928,094,460.57
  6. Step 6: Final answer
    x = 1,119,726,287.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.