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Finding the Fourth Proportional to 278,318.48, 417,477.70 and 98,535.80

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Solution

The fourth proportional to 278,318.48, 417,477.70 and 98,535.80 is: 147,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,318.48 : 417,477.70 = 98,535.80 : x
  2. Step 2: Convert to fraction form
    278,318.48/417,477.70 = 98,535.80/x
  3. Step 3: Cross multiply
    278,318.48x = 417,477.70 × 98,535.80
  4. Step 4: Simplify right side
    278,318.48x = 41,136,499,151.66
  5. Step 5: Solve for x
    x = 41,136,499,151.66/278,318.48
  6. Step 6: Final answer
    x = 147,803.69

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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.