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Finding the Fourth Proportional to 280,271.64, 420,470.84 and 93,290.52

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Solution

The fourth proportional to 280,271.64, 420,470.84 and 93,290.52 is: 139,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,271.64 : 420,470.84 = 93,290.52 : x
  2. Step 2: Convert to fraction form
    280,271.64/420,470.84 = 93,290.52/x
  3. Step 3: Cross multiply
    280,271.64x = 420,470.84 × 93,290.52
  4. Step 4: Simplify right side
    280,271.64x = 39,225,943,308.44
  5. Step 5: Solve for x
    x = 39,225,943,308.44/280,271.64
  6. Step 6: Final answer
    x = 139,956.88

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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.