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Finding the Fourth Proportional to 502,300.80, 754,034.40 and 289,238.40

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Solution

The fourth proportional to 502,300.80, 754,034.40 and 289,238.40 is: 434,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,300.80 : 754,034.40 = 289,238.40 : x
  2. Step 2: Convert to fraction form
    502,300.80/754,034.40 = 289,238.40/x
  3. Step 3: Cross multiply
    502,300.80x = 754,034.40 × 289,238.40
  4. Step 4: Simplify right side
    502,300.80x = 218,095,703,400.96
  5. Step 5: Solve for x
    x = 218,095,703,400.96/502,300.80
  6. Step 6: Final answer
    x = 434,193.42

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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.