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Finding the Fourth Proportional to 458,618.60, 686,567.10 and 340,812.20

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Solution

The fourth proportional to 458,618.60, 686,567.10 and 340,812.20 is: 510,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,618.60 : 686,567.10 = 340,812.20 : x
  2. Step 2: Convert to fraction form
    458,618.60/686,567.10 = 340,812.20/x
  3. Step 3: Cross multiply
    458,618.60x = 686,567.10 × 340,812.20
  4. Step 4: Simplify right side
    458,618.60x = 233,990,443,798.62
  5. Step 5: Solve for x
    x = 233,990,443,798.62/458,618.60
  6. Step 6: Final answer
    x = 510,207.05

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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.