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Finding the Fourth Proportional to 421,702.30, 631,569.30 and 413,245.90

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Solution

The fourth proportional to 421,702.30, 631,569.30 and 413,245.90 is: 618,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,702.30 : 631,569.30 = 413,245.90 : x
  2. Step 2: Convert to fraction form
    421,702.30/631,569.30 = 413,245.90/x
  3. Step 3: Cross multiply
    421,702.30x = 631,569.30 × 413,245.90
  4. Step 4: Simplify right side
    421,702.30x = 260,993,423,790.87
  5. Step 5: Solve for x
    x = 260,993,423,790.87/421,702.30
  6. Step 6: Final answer
    x = 618,904.44

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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.