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Finding the Fourth Proportional to 423,140.57, 583,780.74 and 278,024.52

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Solution

The fourth proportional to 423,140.57, 583,780.74 and 278,024.52 is: 383,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,140.57 : 583,780.74 = 278,024.52 : x
  2. Step 2: Convert to fraction form
    423,140.57/583,780.74 = 278,024.52/x
  3. Step 3: Cross multiply
    423,140.57x = 583,780.74 × 278,024.52
  4. Step 4: Simplify right side
    423,140.57x = 162,305,360,023.75
  5. Step 5: Solve for x
    x = 162,305,360,023.75/423,140.57
  6. Step 6: Final answer
    x = 383,573.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.