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Finding the Fourth Proportional to 288,397.60, 432,345.76 and 138,562.72

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Solution

The fourth proportional to 288,397.60, 432,345.76 and 138,562.72 is: 207,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,397.60 : 432,345.76 = 138,562.72 : x
  2. Step 2: Convert to fraction form
    288,397.60/432,345.76 = 138,562.72/x
  3. Step 3: Cross multiply
    288,397.60x = 432,345.76 × 138,562.72
  4. Step 4: Simplify right side
    288,397.60x = 59,907,004,486.07
  5. Step 5: Solve for x
    x = 59,907,004,486.07/288,397.60
  6. Step 6: Final answer
    x = 207,723.66

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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.