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Finding the Fourth Proportional to 354,084.02, 531,283.05 and 185,564.30

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Solution

The fourth proportional to 354,084.02, 531,283.05 and 185,564.30 is: 278,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,084.02 : 531,283.05 = 185,564.30 : x
  2. Step 2: Convert to fraction form
    354,084.02/531,283.05 = 185,564.30/x
  3. Step 3: Cross multiply
    354,084.02x = 531,283.05 × 185,564.30
  4. Step 4: Simplify right side
    354,084.02x = 98,587,167,275.12
  5. Step 5: Solve for x
    x = 98,587,167,275.12/354,084.02
  6. Step 6: Final answer
    x = 278,428.74

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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.