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Finding the Fourth Proportional to 485,616.60, 727,647.30 and 319,210.20

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Solution

The fourth proportional to 485,616.60, 727,647.30 and 319,210.20 is: 478,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,616.60 : 727,647.30 = 319,210.20 : x
  2. Step 2: Convert to fraction form
    485,616.60/727,647.30 = 319,210.20/x
  3. Step 3: Cross multiply
    485,616.60x = 727,647.30 × 319,210.20
  4. Step 4: Simplify right side
    485,616.60x = 232,272,440,162.46
  5. Step 5: Solve for x
    x = 232,272,440,162.46/485,616.60
  6. Step 6: Final answer
    x = 478,304.16

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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.