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Finding the Fourth Proportional to 390,053.70, 584,643.15 and 200,440.80

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Solution

The fourth proportional to 390,053.70, 584,643.15 and 200,440.80 is: 300,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,053.70 : 584,643.15 = 200,440.80 : x
  2. Step 2: Convert to fraction form
    390,053.70/584,643.15 = 200,440.80/x
  3. Step 3: Cross multiply
    390,053.70x = 584,643.15 × 200,440.80
  4. Step 4: Simplify right side
    390,053.70x = 117,186,340,700.52
  5. Step 5: Solve for x
    x = 117,186,340,700.52/390,053.70
  6. Step 6: Final answer
    x = 300,436.43

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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.