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Finding the Fourth Proportional to 278,265.60, 417,391.44 and 152,028.48

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Solution

The fourth proportional to 278,265.60, 417,391.44 and 152,028.48 is: 228,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,265.60 : 417,391.44 = 152,028.48 : x
  2. Step 2: Convert to fraction form
    278,265.60/417,391.44 = 152,028.48/x
  3. Step 3: Cross multiply
    278,265.60x = 417,391.44 × 152,028.48
  4. Step 4: Simplify right side
    278,265.60x = 63,455,386,188.21
  5. Step 5: Solve for x
    x = 63,455,386,188.21/278,265.60
  6. Step 6: Final answer
    x = 228,038.92

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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.