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Finding the Fourth Proportional to 278,483.78, 417,727.92 and 78,810.68

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Solution

The fourth proportional to 278,483.78, 417,727.92 and 78,810.68 is: 118,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,483.78 : 417,727.92 = 78,810.68 : x
  2. Step 2: Convert to fraction form
    278,483.78/417,727.92 = 78,810.68/x
  3. Step 3: Cross multiply
    278,483.78x = 417,727.92 × 78,810.68
  4. Step 4: Simplify right side
    278,483.78x = 32,921,421,430.19
  5. Step 5: Solve for x
    x = 32,921,421,430.19/278,483.78
  6. Step 6: Final answer
    x = 118,216.66

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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.