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Finding the Fourth Proportional to 429,643.01, 644,468.16 and 130,147.13

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Solution

The fourth proportional to 429,643.01, 644,468.16 and 130,147.13 is: 195,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,643.01 : 644,468.16 = 130,147.13 : x
  2. Step 2: Convert to fraction form
    429,643.01/644,468.16 = 130,147.13/x
  3. Step 3: Cross multiply
    429,643.01x = 644,468.16 × 130,147.13
  4. Step 4: Simplify right side
    429,643.01x = 83,875,681,400.38
  5. Step 5: Solve for x
    x = 83,875,681,400.38/429,643.01
  6. Step 6: Final answer
    x = 195,221.80

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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.