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Finding the Fourth Proportional to 508,931.26, 702,411.53 and 294,195.80

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Solution

The fourth proportional to 508,931.26, 702,411.53 and 294,195.80 is: 406,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,931.26 : 702,411.53 = 294,195.80 : x
  2. Step 2: Convert to fraction form
    508,931.26/702,411.53 = 294,195.80/x
  3. Step 3: Cross multiply
    508,931.26x = 702,411.53 × 294,195.80
  4. Step 4: Simplify right side
    508,931.26x = 206,646,522,282.62
  5. Step 5: Solve for x
    x = 206,646,522,282.62/508,931.26
  6. Step 6: Final answer
    x = 406,040.15

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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.