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Finding the Fourth Proportional to 509,442.61, 764,117.05 and 172,444.74

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Solution

The fourth proportional to 509,442.61, 764,117.05 and 172,444.74 is: 258,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,442.61 : 764,117.05 = 172,444.74 : x
  2. Step 2: Convert to fraction form
    509,442.61/764,117.05 = 172,444.74/x
  3. Step 3: Cross multiply
    509,442.61x = 764,117.05 × 172,444.74
  4. Step 4: Simplify right side
    509,442.61x = 131,767,965,585.71
  5. Step 5: Solve for x
    x = 131,767,965,585.71/509,442.61
  6. Step 6: Final answer
    x = 258,651.25

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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.