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Finding the Fourth Proportional to 428,547.60, 642,706.20 and 129,027.60

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Solution

The fourth proportional to 428,547.60, 642,706.20 and 129,027.60 is: 193,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,547.60 : 642,706.20 = 129,027.60 : x
  2. Step 2: Convert to fraction form
    428,547.60/642,706.20 = 129,027.60/x
  3. Step 3: Cross multiply
    428,547.60x = 642,706.20 × 129,027.60
  4. Step 4: Simplify right side
    428,547.60x = 82,926,838,491.12
  5. Step 5: Solve for x
    x = 82,926,838,491.12/428,547.60
  6. Step 6: Final answer
    x = 193,506.72

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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.