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Finding the Fourth Proportional to 502,847.20, 754,270.80 and 390,872.80

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Solution

The fourth proportional to 502,847.20, 754,270.80 and 390,872.80 is: 586,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,847.20 : 754,270.80 = 390,872.80 : x
  2. Step 2: Convert to fraction form
    502,847.20/754,270.80 = 390,872.80/x
  3. Step 3: Cross multiply
    502,847.20x = 754,270.80 × 390,872.80
  4. Step 4: Simplify right side
    502,847.20x = 294,823,939,554.24
  5. Step 5: Solve for x
    x = 294,823,939,554.24/502,847.20
  6. Step 6: Final answer
    x = 586,309.20

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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.