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Finding the Fourth Proportional to 278,139.48, 417,225.90 and 78,476.94

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Solution

The fourth proportional to 278,139.48, 417,225.90 and 78,476.94 is: 117,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,139.48 : 417,225.90 = 78,476.94 : x
  2. Step 2: Convert to fraction form
    278,139.48/417,225.90 = 78,476.94/x
  3. Step 3: Cross multiply
    278,139.48x = 417,225.90 × 78,476.94
  4. Step 4: Simplify right side
    278,139.48x = 32,742,611,920.75
  5. Step 5: Solve for x
    x = 32,742,611,920.75/278,139.48
  6. Step 6: Final answer
    x = 117,720.12

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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.