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Finding the Fourth Proportional to 499,046.70, 688,698.72 and 278,289.10

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Solution

The fourth proportional to 499,046.70, 688,698.72 and 278,289.10 is: 384,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,046.70 : 688,698.72 = 278,289.10 : x
  2. Step 2: Convert to fraction form
    499,046.70/688,698.72 = 278,289.10/x
  3. Step 3: Cross multiply
    499,046.70x = 688,698.72 × 278,289.10
  4. Step 4: Simplify right side
    499,046.70x = 191,657,347,820.83
  5. Step 5: Solve for x
    x = 191,657,347,820.83/499,046.70
  6. Step 6: Final answer
    x = 384,046.92

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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.