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Finding the Fourth Proportional to 478,502.40, 717,345.90 and 212,117.70

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Solution

The fourth proportional to 478,502.40, 717,345.90 and 212,117.70 is: 317,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,502.40 : 717,345.90 = 212,117.70 : x
  2. Step 2: Convert to fraction form
    478,502.40/717,345.90 = 212,117.70/x
  3. Step 3: Cross multiply
    478,502.40x = 717,345.90 × 212,117.70
  4. Step 4: Simplify right side
    478,502.40x = 152,161,762,412.43
  5. Step 5: Solve for x
    x = 152,161,762,412.43/478,502.40
  6. Step 6: Final answer
    x = 317,995.82

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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.