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Finding the Fourth Proportional to 478,614.30, 717,046.65 and 389,384.70

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Solution

The fourth proportional to 478,614.30, 717,046.65 and 389,384.70 is: 583,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,614.30 : 717,046.65 = 389,384.70 : x
  2. Step 2: Convert to fraction form
    478,614.30/717,046.65 = 389,384.70/x
  3. Step 3: Cross multiply
    478,614.30x = 717,046.65 × 389,384.70
  4. Step 4: Simplify right side
    478,614.30x = 279,206,994,696.26
  5. Step 5: Solve for x
    x = 279,206,994,696.26/478,614.30
  6. Step 6: Final answer
    x = 583,365.34

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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.