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Finding the Fourth Proportional to 478,542.40, 717,773.10 and 146,118.40

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Solution

The fourth proportional to 478,542.40, 717,773.10 and 146,118.40 is: 219,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,542.40 : 717,773.10 = 146,118.40 : x
  2. Step 2: Convert to fraction form
    478,542.40/717,773.10 = 146,118.40/x
  3. Step 3: Cross multiply
    478,542.40x = 717,773.10 × 146,118.40
  4. Step 4: Simplify right side
    478,542.40x = 104,879,856,935.04
  5. Step 5: Solve for x
    x = 104,879,856,935.04/478,542.40
  6. Step 6: Final answer
    x = 219,165.23

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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.