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Finding the Fourth Proportional to 458,457.80, 687,686.70 and 410,246.60

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Solution

The fourth proportional to 458,457.80, 687,686.70 and 410,246.60 is: 615,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,457.80 : 687,686.70 = 410,246.60 : x
  2. Step 2: Convert to fraction form
    458,457.80/687,686.70 = 410,246.60/x
  3. Step 3: Cross multiply
    458,457.80x = 687,686.70 × 410,246.60
  4. Step 4: Simplify right side
    458,457.80x = 282,121,130,540.22
  5. Step 5: Solve for x
    x = 282,121,130,540.22/458,457.80
  6. Step 6: Final answer
    x = 615,369.90

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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.