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Finding the Fourth Proportional to 429,987.34, 645,074.72 and 130,491.35

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Solution

The fourth proportional to 429,987.34, 645,074.72 and 130,491.35 is: 195,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,987.34 : 645,074.72 = 130,491.35 : x
  2. Step 2: Convert to fraction form
    429,987.34/645,074.72 = 130,491.35/x
  3. Step 3: Cross multiply
    429,987.34x = 645,074.72 × 130,491.35
  4. Step 4: Simplify right side
    429,987.34x = 84,176,674,273.27
  5. Step 5: Solve for x
    x = 84,176,674,273.27/429,987.34
  6. Step 6: Final answer
    x = 195,765.47

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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.