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Finding the Fourth Proportional to 429,113.85, 643,670.78 and 113,602.65

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Solution

The fourth proportional to 429,113.85, 643,670.78 and 113,602.65 is: 170,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,113.85 : 643,670.78 = 113,602.65 : x
  2. Step 2: Convert to fraction form
    429,113.85/643,670.78 = 113,602.65/x
  3. Step 3: Cross multiply
    429,113.85x = 643,670.78 × 113,602.65
  4. Step 4: Simplify right side
    429,113.85x = 73,122,705,767.55
  5. Step 5: Solve for x
    x = 73,122,705,767.55/429,113.85
  6. Step 6: Final answer
    x = 170,403.98

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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.