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Finding the Fourth Proportional to 458,411.60, 687,617.40 and 309,112.40

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Solution

The fourth proportional to 458,411.60, 687,617.40 and 309,112.40 is: 463,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,411.60 : 687,617.40 = 309,112.40 : x
  2. Step 2: Convert to fraction form
    458,411.60/687,617.40 = 309,112.40/x
  3. Step 3: Cross multiply
    458,411.60x = 687,617.40 × 309,112.40
  4. Step 4: Simplify right side
    458,411.60x = 212,551,064,795.76
  5. Step 5: Solve for x
    x = 212,551,064,795.76/458,411.60
  6. Step 6: Final answer
    x = 463,668.60

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1.5x scale

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.