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Finding the Fourth Proportional to 429,416.80, 644,125.20 and 148,962.40

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Solution

The fourth proportional to 429,416.80, 644,125.20 and 148,962.40 is: 223,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,416.80 : 644,125.20 = 148,962.40 : x
  2. Step 2: Convert to fraction form
    429,416.80/644,125.20 = 148,962.40/x
  3. Step 3: Cross multiply
    429,416.80x = 644,125.20 × 148,962.40
  4. Step 4: Simplify right side
    429,416.80x = 95,950,435,692.48
  5. Step 5: Solve for x
    x = 95,950,435,692.48/429,416.80
  6. Step 6: Final answer
    x = 223,443.60

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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.