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Finding the Fourth Proportional to 272,404.95, 408,519.45 and 99,272.01

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Solution

The fourth proportional to 272,404.95, 408,519.45 and 99,272.01 is: 148,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,404.95 : 408,519.45 = 99,272.01 : x
  2. Step 2: Convert to fraction form
    272,404.95/408,519.45 = 99,272.01/x
  3. Step 3: Cross multiply
    272,404.95x = 408,519.45 × 99,272.01
  4. Step 4: Simplify right side
    272,404.95x = 40,554,546,925.59
  5. Step 5: Solve for x
    x = 40,554,546,925.59/272,404.95
  6. Step 6: Final answer
    x = 148,875.95

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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.