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Finding the Fourth Proportional to 409,421.98, 614,323.19 and 156,618.90

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Solution

The fourth proportional to 409,421.98, 614,323.19 and 156,618.90 is: 235,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,421.98 : 614,323.19 = 156,618.90 : x
  2. Step 2: Convert to fraction form
    409,421.98/614,323.19 = 156,618.90/x
  3. Step 3: Cross multiply
    409,421.98x = 614,323.19 × 156,618.90
  4. Step 4: Simplify right side
    409,421.98x = 96,214,621,479.20
  5. Step 5: Solve for x
    x = 96,214,621,479.20/409,421.98
  6. Step 6: Final answer
    x = 235,001.12

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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.