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Finding the Fourth Proportional to 560,948.14, 774,109.41 and 306,293.90

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Solution

The fourth proportional to 560,948.14, 774,109.41 and 306,293.90 is: 422,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,948.14 : 774,109.41 = 306,293.90 : x
  2. Step 2: Convert to fraction form
    560,948.14/774,109.41 = 306,293.90/x
  3. Step 3: Cross multiply
    560,948.14x = 774,109.41 × 306,293.90
  4. Step 4: Simplify right side
    560,948.14x = 237,104,990,215.60
  5. Step 5: Solve for x
    x = 237,104,990,215.60/560,948.14
  6. Step 6: Final answer
    x = 422,686.12

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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.