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Finding the Fourth Proportional to 460,828, 635,933.52 and 256,866.76

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Solution

The fourth proportional to 460,828, 635,933.52 and 256,866.76 is: 354,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,828 : 635,933.52 = 256,866.76 : x
  2. Step 2: Convert to fraction form
    460,828/635,933.52 = 256,866.76/x
  3. Step 3: Cross multiply
    460,828x = 635,933.52 × 256,866.76
  4. Step 4: Simplify right side
    460,828x = 163,350,182,857.80
  5. Step 5: Solve for x
    x = 163,350,182,857.80/460,828
  6. Step 6: Final answer
    x = 354,471.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.