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Finding the Fourth Proportional to 307,785.30, 460,627.65 and 257,921.70

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Solution

The fourth proportional to 307,785.30, 460,627.65 and 257,921.70 is: 386,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,785.30 : 460,627.65 = 257,921.70 : x
  2. Step 2: Convert to fraction form
    307,785.30/460,627.65 = 257,921.70/x
  3. Step 3: Cross multiply
    307,785.30x = 460,627.65 × 257,921.70
  4. Step 4: Simplify right side
    307,785.30x = 118,805,866,555.01
  5. Step 5: Solve for x
    x = 118,805,866,555.01/307,785.30
  6. Step 6: Final answer
    x = 386,002.41

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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.