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Finding the Fourth Proportional to 452,643.60, 679,354.20 and 200,312.40

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Solution

The fourth proportional to 452,643.60, 679,354.20 and 200,312.40 is: 300,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,643.60 : 679,354.20 = 200,312.40 : x
  2. Step 2: Convert to fraction form
    452,643.60/679,354.20 = 200,312.40/x
  3. Step 3: Cross multiply
    452,643.60x = 679,354.20 × 200,312.40
  4. Step 4: Simplify right side
    452,643.60x = 136,083,070,252.08
  5. Step 5: Solve for x
    x = 136,083,070,252.08/452,643.60
  6. Step 6: Final answer
    x = 300,640.66

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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.