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Finding the Fourth Proportional to 506,085.17, 698,309.71 and 312,601.28

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Solution

The fourth proportional to 506,085.17, 698,309.71 and 312,601.28 is: 431,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,085.17 : 698,309.71 = 312,601.28 : x
  2. Step 2: Convert to fraction form
    506,085.17/698,309.71 = 312,601.28/x
  3. Step 3: Cross multiply
    506,085.17x = 698,309.71 × 312,601.28
  4. Step 4: Simplify right side
    506,085.17x = 218,292,504,909.38
  5. Step 5: Solve for x
    x = 218,292,504,909.38/506,085.17
  6. Step 6: Final answer
    x = 431,335.51

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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.