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Finding the Fourth Proportional to 754,926, 1,132,563.96 and 256,290

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Solution

The fourth proportional to 754,926, 1,132,563.96 and 256,290 is: 384,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,926 : 1,132,563.96 = 256,290 : x
  2. Step 2: Convert to fraction form
    754,926/1,132,563.96 = 256,290/x
  3. Step 3: Cross multiply
    754,926x = 1,132,563.96 × 256,290
  4. Step 4: Simplify right side
    754,926x = 290,264,817,308.40
  5. Step 5: Solve for x
    x = 290,264,817,308.40/754,926
  6. Step 6: Final answer
    x = 384,494.40

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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.