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Finding the Fourth Proportional to 458,516.40, 687,774.60 and 427,412.40

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Solution

The fourth proportional to 458,516.40, 687,774.60 and 427,412.40 is: 641,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,516.40 : 687,774.60 = 427,412.40 : x
  2. Step 2: Convert to fraction form
    458,516.40/687,774.60 = 427,412.40/x
  3. Step 3: Cross multiply
    458,516.40x = 687,774.60 × 427,412.40
  4. Step 4: Simplify right side
    458,516.40x = 293,963,392,445.04
  5. Step 5: Solve for x
    x = 293,963,392,445.04/458,516.40
  6. Step 6: Final answer
    x = 641,118.60

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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.