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Finding the Fourth Proportional to 409,314.80, 564,565.56 and 239,582.72

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Solution

The fourth proportional to 409,314.80, 564,565.56 and 239,582.72 is: 330,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,314.80 : 564,565.56 = 239,582.72 : x
  2. Step 2: Convert to fraction form
    409,314.80/564,565.56 = 239,582.72/x
  3. Step 3: Cross multiply
    409,314.80x = 564,565.56 × 239,582.72
  4. Step 4: Simplify right side
    409,314.80x = 135,260,152,483.12
  5. Step 5: Solve for x
    x = 135,260,152,483.12/409,314.80
  6. Step 6: Final answer
    x = 330,455.07

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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.