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Finding the Fourth Proportional to 458,482.40, 686,168.40 and 402,495.20

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Solution

The fourth proportional to 458,482.40, 686,168.40 and 402,495.20 is: 602,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,482.40 : 686,168.40 = 402,495.20 : x
  2. Step 2: Convert to fraction form
    458,482.40/686,168.40 = 402,495.20/x
  3. Step 3: Cross multiply
    458,482.40x = 686,168.40 × 402,495.20
  4. Step 4: Simplify right side
    458,482.40x = 276,179,487,391.68
  5. Step 5: Solve for x
    x = 276,179,487,391.68/458,482.40
  6. Step 6: Final answer
    x = 602,377.51

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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.