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Finding the Fourth Proportional to 387,616.40, 581,035.80 and 177,405.20

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Solution

The fourth proportional to 387,616.40, 581,035.80 and 177,405.20 is: 265,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,616.40 : 581,035.80 = 177,405.20 : x
  2. Step 2: Convert to fraction form
    387,616.40/581,035.80 = 177,405.20/x
  3. Step 3: Cross multiply
    387,616.40x = 581,035.80 × 177,405.20
  4. Step 4: Simplify right side
    387,616.40x = 103,078,772,306.16
  5. Step 5: Solve for x
    x = 103,078,772,306.16/387,616.40
  6. Step 6: Final answer
    x = 265,929.85

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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.