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Finding the Fourth Proportional to 509,255.89, 702,480.66 and 317,937.13

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Solution

The fourth proportional to 509,255.89, 702,480.66 and 317,937.13 is: 438,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,255.89 : 702,480.66 = 317,937.13 : x
  2. Step 2: Convert to fraction form
    509,255.89/702,480.66 = 317,937.13/x
  3. Step 3: Cross multiply
    509,255.89x = 702,480.66 × 317,937.13
  4. Step 4: Simplify right side
    509,255.89x = 223,344,684,920.91
  5. Step 5: Solve for x
    x = 223,344,684,920.91/509,255.89
  6. Step 6: Final answer
    x = 438,570.65

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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.