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Finding the Fourth Proportional to 582,564.60, 872,097.30 and 345,785.40

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Solution

The fourth proportional to 582,564.60, 872,097.30 and 345,785.40 is: 517,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,564.60 : 872,097.30 = 345,785.40 : x
  2. Step 2: Convert to fraction form
    582,564.60/872,097.30 = 345,785.40/x
  3. Step 3: Cross multiply
    582,564.60x = 872,097.30 × 345,785.40
  4. Step 4: Simplify right side
    582,564.60x = 301,558,513,719.42
  5. Step 5: Solve for x
    x = 301,558,513,719.42/582,564.60
  6. Step 6: Final answer
    x = 517,639.61

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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.