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Finding the Fourth Proportional to 429,575.40, 644,363.10 and 176,867.55

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Solution

The fourth proportional to 429,575.40, 644,363.10 and 176,867.55 is: 265,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,575.40 : 644,363.10 = 176,867.55 : x
  2. Step 2: Convert to fraction form
    429,575.40/644,363.10 = 176,867.55/x
  3. Step 3: Cross multiply
    429,575.40x = 644,363.10 × 176,867.55
  4. Step 4: Simplify right side
    429,575.40x = 113,966,922,807.41
  5. Step 5: Solve for x
    x = 113,966,922,807.41/429,575.40
  6. Step 6: Final answer
    x = 265,301.33

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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.