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Finding the Fourth Proportional to 429,267.60, 643,907.34 and 129,750.66

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Solution

The fourth proportional to 429,267.60, 643,907.34 and 129,750.66 is: 194,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,267.60 : 643,907.34 = 129,750.66 : x
  2. Step 2: Convert to fraction form
    429,267.60/643,907.34 = 129,750.66/x
  3. Step 3: Cross multiply
    429,267.60x = 643,907.34 × 129,750.66
  4. Step 4: Simplify right side
    429,267.60x = 83,547,402,343.84
  5. Step 5: Solve for x
    x = 83,547,402,343.84/429,267.60
  6. Step 6: Final answer
    x = 194,627.79

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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.