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Finding the Fourth Proportional to 409,565.24, 614,304.16 and 143,330.84

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Solution

The fourth proportional to 409,565.24, 614,304.16 and 143,330.84 is: 214,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,565.24 : 614,304.16 = 143,330.84 : x
  2. Step 2: Convert to fraction form
    409,565.24/614,304.16 = 143,330.84/x
  3. Step 3: Cross multiply
    409,565.24x = 614,304.16 × 143,330.84
  4. Step 4: Simplify right side
    409,565.24x = 88,048,731,268.29
  5. Step 5: Solve for x
    x = 88,048,731,268.29/409,565.24
  6. Step 6: Final answer
    x = 214,980.97

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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.