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Finding the Fourth Proportional to 387,613.20, 581,225.40 and 177,013.20

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Solution

The fourth proportional to 387,613.20, 581,225.40 and 177,013.20 is: 265,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,613.20 : 581,225.40 = 177,013.20 : x
  2. Step 2: Convert to fraction form
    387,613.20/581,225.40 = 177,013.20/x
  3. Step 3: Cross multiply
    387,613.20x = 581,225.40 × 177,013.20
  4. Step 4: Simplify right side
    387,613.20x = 102,884,567,975.28
  5. Step 5: Solve for x
    x = 102,884,567,975.28/387,613.20
  6. Step 6: Final answer
    x = 265,431.02

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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.