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Finding the Fourth Proportional to 499,319.62, 689,011.64 and 284,446.86

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Solution

The fourth proportional to 499,319.62, 689,011.64 and 284,446.86 is: 392,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,319.62 : 689,011.64 = 284,446.86 : x
  2. Step 2: Convert to fraction form
    499,319.62/689,011.64 = 284,446.86/x
  3. Step 3: Cross multiply
    499,319.62x = 689,011.64 × 284,446.86
  4. Step 4: Simplify right side
    499,319.62x = 195,987,197,501.45
  5. Step 5: Solve for x
    x = 195,987,197,501.45/499,319.62
  6. Step 6: Final answer
    x = 392,508.50

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1.5x scale

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.