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Finding the Fourth Proportional to 461,277.60, 691,916.40 and 311,978.40

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Solution

The fourth proportional to 461,277.60, 691,916.40 and 311,978.40 is: 467,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,277.60 : 691,916.40 = 311,978.40 : x
  2. Step 2: Convert to fraction form
    461,277.60/691,916.40 = 311,978.40/x
  3. Step 3: Cross multiply
    461,277.60x = 691,916.40 × 311,978.40
  4. Step 4: Simplify right side
    461,277.60x = 215,862,971,405.76
  5. Step 5: Solve for x
    x = 215,862,971,405.76/461,277.60
  6. Step 6: Final answer
    x = 467,967.60

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Similar ratio
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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.