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Finding the Fourth Proportional to 402,443.20, 603,664.80 and 202,686.40

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Solution

The fourth proportional to 402,443.20, 603,664.80 and 202,686.40 is: 304,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,443.20 : 603,664.80 = 202,686.40 : x
  2. Step 2: Convert to fraction form
    402,443.20/603,664.80 = 202,686.40/x
  3. Step 3: Cross multiply
    402,443.20x = 603,664.80 × 202,686.40
  4. Step 4: Simplify right side
    402,443.20x = 122,354,645,118.72
  5. Step 5: Solve for x
    x = 122,354,645,118.72/402,443.20
  6. Step 6: Final answer
    x = 304,029.60

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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.