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Finding the Fourth Proportional to 207,256.30, 310,366.05 and 165,784.30

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Solution

The fourth proportional to 207,256.30, 310,366.05 and 165,784.30 is: 248,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,256.30 : 310,366.05 = 165,784.30 : x
  2. Step 2: Convert to fraction form
    207,256.30/310,366.05 = 165,784.30/x
  3. Step 3: Cross multiply
    207,256.30x = 310,366.05 × 165,784.30
  4. Step 4: Simplify right side
    207,256.30x = 51,453,818,343.02
  5. Step 5: Solve for x
    x = 51,453,818,343.02/207,256.30
  6. Step 6: Final answer
    x = 248,261.78

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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.