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Finding the Fourth Proportional to 278,111.70, 417,070.35 and 144,947.70

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Solution

The fourth proportional to 278,111.70, 417,070.35 and 144,947.70 is: 217,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,111.70 : 417,070.35 = 144,947.70 : x
  2. Step 2: Convert to fraction form
    278,111.70/417,070.35 = 144,947.70/x
  3. Step 3: Cross multiply
    278,111.70x = 417,070.35 × 144,947.70
  4. Step 4: Simplify right side
    278,111.70x = 60,453,387,970.70
  5. Step 5: Solve for x
    x = 60,453,387,970.70/278,111.70
  6. Step 6: Final answer
    x = 217,370.89

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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.