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Finding the Fourth Proportional to 502,139.85, 693,053.57 and 298,304.01

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Solution

The fourth proportional to 502,139.85, 693,053.57 and 298,304.01 is: 411,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,139.85 : 693,053.57 = 298,304.01 : x
  2. Step 2: Convert to fraction form
    502,139.85/693,053.57 = 298,304.01/x
  3. Step 3: Cross multiply
    502,139.85x = 693,053.57 × 298,304.01
  4. Step 4: Simplify right side
    502,139.85x = 206,740,659,075.82
  5. Step 5: Solve for x
    x = 206,740,659,075.82/502,139.85
  6. Step 6: Final answer
    x = 411,719.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.