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Finding the Fourth Proportional to 259,403.63, 357,916.07 and 157,426.83

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Solution

The fourth proportional to 259,403.63, 357,916.07 and 157,426.83 is: 217,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,403.63 : 357,916.07 = 157,426.83 : x
  2. Step 2: Convert to fraction form
    259,403.63/357,916.07 = 157,426.83/x
  3. Step 3: Cross multiply
    259,403.63x = 357,916.07 × 157,426.83
  4. Step 4: Simplify right side
    259,403.63x = 56,345,591,519.02
  5. Step 5: Solve for x
    x = 56,345,591,519.02/259,403.63
  6. Step 6: Final answer
    x = 217,212.04

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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.