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Finding the Fourth Proportional to 518,532, 715,574.64 and 280,068

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Solution

The fourth proportional to 518,532, 715,574.64 and 280,068 is: 386,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,532 : 715,574.64 = 280,068 : x
  2. Step 2: Convert to fraction form
    518,532/715,574.64 = 280,068/x
  3. Step 3: Cross multiply
    518,532x = 715,574.64 × 280,068
  4. Step 4: Simplify right side
    518,532x = 200,409,558,275.52
  5. Step 5: Solve for x
    x = 200,409,558,275.52/518,532
  6. Step 6: Final answer
    x = 386,494.10

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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.