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Finding the Fourth Proportional to 647,081.10, 971,605.80 and 497,490.30

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Solution

The fourth proportional to 647,081.10, 971,605.80 and 497,490.30 is: 746,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,081.10 : 971,605.80 = 497,490.30 : x
  2. Step 2: Convert to fraction form
    647,081.10/971,605.80 = 497,490.30/x
  3. Step 3: Cross multiply
    647,081.10x = 971,605.80 × 497,490.30
  4. Step 4: Simplify right side
    647,081.10x = 483,364,460,923.74
  5. Step 5: Solve for x
    x = 483,364,460,923.74/647,081.10
  6. Step 6: Final answer
    x = 746,992.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.