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Finding the Fourth Proportional to 278,312.15, 417,482.51 and 78,646.95

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Solution

The fourth proportional to 278,312.15, 417,482.51 and 78,646.95 is: 117,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,312.15 : 417,482.51 = 78,646.95 : x
  2. Step 2: Convert to fraction form
    278,312.15/417,482.51 = 78,646.95/x
  3. Step 3: Cross multiply
    278,312.15x = 417,482.51 × 78,646.95
  4. Step 4: Simplify right side
    278,312.15x = 32,833,725,696.61
  5. Step 5: Solve for x
    x = 32,833,725,696.61/278,312.15
  6. Step 6: Final answer
    x = 117,974.46

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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.