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Finding the Fourth Proportional to 338,712, 508,102.01 and 89,394

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Solution

The fourth proportional to 338,712, 508,102.01 and 89,394 is: 134,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,712 : 508,102.01 = 89,394 : x
  2. Step 2: Convert to fraction form
    338,712/508,102.01 = 89,394/x
  3. Step 3: Cross multiply
    338,712x = 508,102.01 × 89,394
  4. Step 4: Simplify right side
    338,712x = 45,421,271,081.94
  5. Step 5: Solve for x
    x = 45,421,271,081.94/338,712
  6. Step 6: Final answer
    x = 134,099.98

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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.