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Finding the Fourth Proportional to 473,159.80, 709,739.70 and 429,614.20

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Solution

The fourth proportional to 473,159.80, 709,739.70 and 429,614.20 is: 644,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,159.80 : 709,739.70 = 429,614.20 : x
  2. Step 2: Convert to fraction form
    473,159.80/709,739.70 = 429,614.20/x
  3. Step 3: Cross multiply
    473,159.80x = 709,739.70 × 429,614.20
  4. Step 4: Simplify right side
    473,159.80x = 304,914,253,423.74
  5. Step 5: Solve for x
    x = 304,914,253,423.74/473,159.80
  6. Step 6: Final answer
    x = 644,421.30

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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.