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Finding the Fourth Proportional to 408,920.74, 564,271.05 and 301,548.58

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Solution

The fourth proportional to 408,920.74, 564,271.05 and 301,548.58 is: 416,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,920.74 : 564,271.05 = 301,548.58 : x
  2. Step 2: Convert to fraction form
    408,920.74/564,271.05 = 301,548.58/x
  3. Step 3: Cross multiply
    408,920.74x = 564,271.05 × 301,548.58
  4. Step 4: Simplify right side
    408,920.74x = 170,155,133,862.61
  5. Step 5: Solve for x
    x = 170,155,133,862.61/408,920.74
  6. Step 6: Final answer
    x = 416,107.86

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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.