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Finding the Fourth Proportional to 429,477.60, 644,302.80 and 148,936.80

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Solution

The fourth proportional to 429,477.60, 644,302.80 and 148,936.80 is: 223,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,477.60 : 644,302.80 = 148,936.80 : x
  2. Step 2: Convert to fraction form
    429,477.60/644,302.80 = 148,936.80/x
  3. Step 3: Cross multiply
    429,477.60x = 644,302.80 × 148,936.80
  4. Step 4: Simplify right side
    429,477.60x = 95,960,397,263.04
  5. Step 5: Solve for x
    x = 95,960,397,263.04/429,477.60
  6. Step 6: Final answer
    x = 223,435.16

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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.