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Finding the Fourth Proportional to 489,089.92, 674,695.68 and 319,423.36

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Solution

The fourth proportional to 489,089.92, 674,695.68 and 319,423.36 is: 440,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,089.92 : 674,695.68 = 319,423.36 : x
  2. Step 2: Convert to fraction form
    489,089.92/674,695.68 = 319,423.36/x
  3. Step 3: Cross multiply
    489,089.92x = 674,695.68 × 319,423.36
  4. Step 4: Simplify right side
    489,089.92x = 215,513,561,083.09
  5. Step 5: Solve for x
    x = 215,513,561,083.09/489,089.92
  6. Step 6: Final answer
    x = 440,642.00

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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.