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Finding the Fourth Proportional to 977,429.80, 1,464,978.30 and 408,809.80

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Solution

The fourth proportional to 977,429.80, 1,464,978.30 and 408,809.80 is: 612,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,429.80 : 1,464,978.30 = 408,809.80 : x
  2. Step 2: Convert to fraction form
    977,429.80/1,464,978.30 = 408,809.80/x
  3. Step 3: Cross multiply
    977,429.80x = 1,464,978.30 × 408,809.80
  4. Step 4: Simplify right side
    977,429.80x = 598,897,485,827.34
  5. Step 5: Solve for x
    x = 598,897,485,827.34/977,429.80
  6. Step 6: Final answer
    x = 612,726.85

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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.