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Finding the Fourth Proportional to 458,643.60, 686,604.60 and 340,837.20

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Solution

The fourth proportional to 458,643.60, 686,604.60 and 340,837.20 is: 510,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,643.60 : 686,604.60 = 340,837.20 : x
  2. Step 2: Convert to fraction form
    458,643.60/686,604.60 = 340,837.20/x
  3. Step 3: Cross multiply
    458,643.60x = 686,604.60 × 340,837.20
  4. Step 4: Simplify right side
    458,643.60x = 234,020,389,371.12
  5. Step 5: Solve for x
    x = 234,020,389,371.12/458,643.60
  6. Step 6: Final answer
    x = 510,244.53

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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.