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Finding the Fourth Proportional to 429,091.95, 643,726.44 and 140,925.32

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Solution

The fourth proportional to 429,091.95, 643,726.44 and 140,925.32 is: 211,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,091.95 : 643,726.44 = 140,925.32 : x
  2. Step 2: Convert to fraction form
    429,091.95/643,726.44 = 140,925.32/x
  3. Step 3: Cross multiply
    429,091.95x = 643,726.44 × 140,925.32
  4. Step 4: Simplify right side
    429,091.95x = 90,717,351,330.83
  5. Step 5: Solve for x
    x = 90,717,351,330.83/429,091.95
  6. Step 6: Final answer
    x = 211,417.04

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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.