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Finding the Fourth Proportional to 272,130.83, 408,142.94 and 258,628.53

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Solution

The fourth proportional to 272,130.83, 408,142.94 and 258,628.53 is: 387,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,130.83 : 408,142.94 = 258,628.53 : x
  2. Step 2: Convert to fraction form
    272,130.83/408,142.94 = 258,628.53/x
  3. Step 3: Cross multiply
    272,130.83x = 408,142.94 × 258,628.53
  4. Step 4: Simplify right side
    272,130.83x = 105,557,408,839.47
  5. Step 5: Solve for x
    x = 105,557,408,839.47/272,130.83
  6. Step 6: Final answer
    x = 387,892.14

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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.