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Finding the Fourth Proportional to 424,590.78, 585,839.07 and 309,931.91

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Solution

The fourth proportional to 424,590.78, 585,839.07 and 309,931.91 is: 427,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,590.78 : 585,839.07 = 309,931.91 : x
  2. Step 2: Convert to fraction form
    424,590.78/585,839.07 = 309,931.91/x
  3. Step 3: Cross multiply
    424,590.78x = 585,839.07 × 309,931.91
  4. Step 4: Simplify right side
    424,590.78x = 181,570,218,988.53
  5. Step 5: Solve for x
    x = 181,570,218,988.53/424,590.78
  6. Step 6: Final answer
    x = 427,635.80

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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.