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Finding the Fourth Proportional to 278,436.69, 417,657.47 and 78,763.59

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Solution

The fourth proportional to 278,436.69, 417,657.47 and 78,763.59 is: 118,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,436.69 : 417,657.47 = 78,763.59 : x
  2. Step 2: Convert to fraction form
    278,436.69/417,657.47 = 78,763.59/x
  3. Step 3: Cross multiply
    278,436.69x = 417,657.47 × 78,763.59
  4. Step 4: Simplify right side
    278,436.69x = 32,896,201,333.70
  5. Step 5: Solve for x
    x = 32,896,201,333.70/278,436.69
  6. Step 6: Final answer
    x = 118,146.07

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1.5x scale

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.