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Finding the Fourth Proportional to 280,064.70, 419,319.45 and 272,288.70

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Solution

The fourth proportional to 280,064.70, 419,319.45 and 272,288.70 is: 407,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,064.70 : 419,319.45 = 272,288.70 : x
  2. Step 2: Convert to fraction form
    280,064.70/419,319.45 = 272,288.70/x
  3. Step 3: Cross multiply
    280,064.70x = 419,319.45 × 272,288.70
  4. Step 4: Simplify right side
    280,064.70x = 114,175,947,925.22
  5. Step 5: Solve for x
    x = 114,175,947,925.22/280,064.70
  6. Step 6: Final answer
    x = 407,677.04

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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.