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Finding the Fourth Proportional to 502,649.20, 753,973.80 and 414,002.80

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Solution

The fourth proportional to 502,649.20, 753,973.80 and 414,002.80 is: 621,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,649.20 : 753,973.80 = 414,002.80 : x
  2. Step 2: Convert to fraction form
    502,649.20/753,973.80 = 414,002.80/x
  3. Step 3: Cross multiply
    502,649.20x = 753,973.80 × 414,002.80
  4. Step 4: Simplify right side
    502,649.20x = 312,147,264,326.64
  5. Step 5: Solve for x
    x = 312,147,264,326.64/502,649.20
  6. Step 6: Final answer
    x = 621,004.20

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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.