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Finding the Fourth Proportional to 788,385,268.47, 1,087,978,719.87 and 435,984,969.90

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Solution

The fourth proportional to 788,385,268.47, 1,087,978,719.87 and 435,984,969.90 is: 601,663,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,385,268.47 : 1,087,978,719.87 = 435,984,969.90 : x
  2. Step 2: Convert to fraction form
    788,385,268.47/1,087,978,719.87 = 435,984,969.90/x
  3. Step 3: Cross multiply
    788,385,268.47x = 1,087,978,719.87 × 435,984,969.90
  4. Step 4: Simplify right side
    788,385,268.47x = 474,342,369,434,362,432
  5. Step 5: Solve for x
    x = 474,342,369,434,362,432/788,385,268.47
  6. Step 6: Final answer
    x = 601,663,156.84

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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.