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Finding the Fourth Proportional to 429,602.40, 644,354.22 and 114,084

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Solution

The fourth proportional to 429,602.40, 644,354.22 and 114,084 is: 171,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,602.40 : 644,354.22 = 114,084 : x
  2. Step 2: Convert to fraction form
    429,602.40/644,354.22 = 114,084/x
  3. Step 3: Cross multiply
    429,602.40x = 644,354.22 × 114,084
  4. Step 4: Simplify right side
    429,602.40x = 73,510,506,834.48
  5. Step 5: Solve for x
    x = 73,510,506,834.48/429,602.40
  6. Step 6: Final answer
    x = 171,112.89

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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.