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Finding the Fourth Proportional to 429,280.86, 643,775.49 and 148,732.62

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Solution

The fourth proportional to 429,280.86, 643,775.49 and 148,732.62 is: 223,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,280.86 : 643,775.49 = 148,732.62 : x
  2. Step 2: Convert to fraction form
    429,280.86/643,775.49 = 148,732.62/x
  3. Step 3: Cross multiply
    429,280.86x = 643,775.49 × 148,732.62
  4. Step 4: Simplify right side
    429,280.86x = 95,750,415,319.48
  5. Step 5: Solve for x
    x = 95,750,415,319.48/429,280.86
  6. Step 6: Final answer
    x = 223,048.41

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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.