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Finding the Fourth Proportional to 413,024.80, 619,537.20 and 319,712.80

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Solution

The fourth proportional to 413,024.80, 619,537.20 and 319,712.80 is: 479,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,024.80 : 619,537.20 = 319,712.80 : x
  2. Step 2: Convert to fraction form
    413,024.80/619,537.20 = 319,712.80/x
  3. Step 3: Cross multiply
    413,024.80x = 619,537.20 × 319,712.80
  4. Step 4: Simplify right side
    413,024.80x = 198,073,972,916.16
  5. Step 5: Solve for x
    x = 198,073,972,916.16/413,024.80
  6. Step 6: Final answer
    x = 479,569.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.