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Finding the Fourth Proportional to 495,821.68, 684,000.20 and 359,556.70

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Solution

The fourth proportional to 495,821.68, 684,000.20 and 359,556.70 is: 496,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,821.68 : 684,000.20 = 359,556.70 : x
  2. Step 2: Convert to fraction form
    495,821.68/684,000.20 = 359,556.70/x
  3. Step 3: Cross multiply
    495,821.68x = 684,000.20 × 359,556.70
  4. Step 4: Simplify right side
    495,821.68x = 245,936,854,711.34
  5. Step 5: Solve for x
    x = 245,936,854,711.34/495,821.68
  6. Step 6: Final answer
    x = 496,018.76

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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.