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Finding the Fourth Proportional to 499,048.70, 688,701.48 and 278,291.10

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Solution

The fourth proportional to 499,048.70, 688,701.48 and 278,291.10 is: 384,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,048.70 : 688,701.48 = 278,291.10 : x
  2. Step 2: Convert to fraction form
    499,048.70/688,701.48 = 278,291.10/x
  3. Step 3: Cross multiply
    499,048.70x = 688,701.48 × 278,291.10
  4. Step 4: Simplify right side
    499,048.70x = 191,659,492,440.83
  5. Step 5: Solve for x
    x = 191,659,492,440.83/499,048.70
  6. Step 6: Final answer
    x = 384,049.68

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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.