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Finding the Fourth Proportional to 458,480.40, 686,165.40 and 402,493.20

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Solution

The fourth proportional to 458,480.40, 686,165.40 and 402,493.20 is: 602,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,480.40 : 686,165.40 = 402,493.20 : x
  2. Step 2: Convert to fraction form
    458,480.40/686,165.40 = 402,493.20/x
  3. Step 3: Cross multiply
    458,480.40x = 686,165.40 × 402,493.20
  4. Step 4: Simplify right side
    458,480.40x = 276,176,907,575.28
  5. Step 5: Solve for x
    x = 276,176,907,575.28/458,480.40
  6. Step 6: Final answer
    x = 602,374.51

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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.