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Finding the Fourth Proportional to 429,567.61, 644,104.50 and 177,022.45

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Solution

The fourth proportional to 429,567.61, 644,104.50 and 177,022.45 is: 265,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,567.61 : 644,104.50 = 177,022.45 : x
  2. Step 2: Convert to fraction form
    429,567.61/644,104.50 = 177,022.45/x
  3. Step 3: Cross multiply
    429,567.61x = 644,104.50 × 177,022.45
  4. Step 4: Simplify right side
    429,567.61x = 114,020,956,646.03
  5. Step 5: Solve for x
    x = 114,020,956,646.03/429,567.61
  6. Step 6: Final answer
    x = 265,431.92

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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.