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Finding the Fourth Proportional to 285,509.81, 428,264.72 and 98,521.31

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Solution

The fourth proportional to 285,509.81, 428,264.72 and 98,521.31 is: 147,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,509.81 : 428,264.72 = 98,521.31 : x
  2. Step 2: Convert to fraction form
    285,509.81/428,264.72 = 98,521.31/x
  3. Step 3: Cross multiply
    285,509.81x = 428,264.72 × 98,521.31
  4. Step 4: Simplify right side
    285,509.81x = 42,193,202,188.69
  5. Step 5: Solve for x
    x = 42,193,202,188.69/285,509.81
  6. Step 6: Final answer
    x = 147,781.97

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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.