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Finding the Fourth Proportional to 488,715.40, 732,854.40 and 189,096.40

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Solution

The fourth proportional to 488,715.40, 732,854.40 and 189,096.40 is: 283,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,715.40 : 732,854.40 = 189,096.40 : x
  2. Step 2: Convert to fraction form
    488,715.40/732,854.40 = 189,096.40/x
  3. Step 3: Cross multiply
    488,715.40x = 732,854.40 × 189,096.40
  4. Step 4: Simplify right side
    488,715.40x = 138,580,128,764.16
  5. Step 5: Solve for x
    x = 138,580,128,764.16/488,715.40
  6. Step 6: Final answer
    x = 283,559.98

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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.