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Finding the Fourth Proportional to 498,859.32, 688,439.34 and 297,771.96

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Solution

The fourth proportional to 498,859.32, 688,439.34 and 297,771.96 is: 410,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,859.32 : 688,439.34 = 297,771.96 : x
  2. Step 2: Convert to fraction form
    498,859.32/688,439.34 = 297,771.96/x
  3. Step 3: Cross multiply
    498,859.32x = 688,439.34 × 297,771.96
  4. Step 4: Simplify right side
    498,859.32x = 204,997,931,612.91
  5. Step 5: Solve for x
    x = 204,997,931,612.91/498,859.32
  6. Step 6: Final answer
    x = 410,933.35

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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.