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Finding the Fourth Proportional to 421,701.30, 631,567.80 and 413,244.90

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Solution

The fourth proportional to 421,701.30, 631,567.80 and 413,244.90 is: 618,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,701.30 : 631,567.80 = 413,244.90 : x
  2. Step 2: Convert to fraction form
    421,701.30/631,567.80 = 413,244.90/x
  3. Step 3: Cross multiply
    421,701.30x = 631,567.80 × 413,244.90
  4. Step 4: Simplify right side
    421,701.30x = 260,992,172,354.22
  5. Step 5: Solve for x
    x = 260,992,172,354.22/421,701.30
  6. Step 6: Final answer
    x = 618,902.94

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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.