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Finding the Fourth Proportional to 461,635.85, 637,345.35 and 298,377.68

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Solution

The fourth proportional to 461,635.85, 637,345.35 and 298,377.68 is: 411,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,635.85 : 637,345.35 = 298,377.68 : x
  2. Step 2: Convert to fraction form
    461,635.85/637,345.35 = 298,377.68/x
  3. Step 3: Cross multiply
    461,635.85x = 637,345.35 × 298,377.68
  4. Step 4: Simplify right side
    461,635.85x = 190,169,626,891.79
  5. Step 5: Solve for x
    x = 190,169,626,891.79/461,635.85
  6. Step 6: Final answer
    x = 411,947.27

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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.