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Finding the Fourth Proportional to 342,724.35, 473,610.24 and 257,693.79

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Solution

The fourth proportional to 342,724.35, 473,610.24 and 257,693.79 is: 356,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,724.35 : 473,610.24 = 257,693.79 : x
  2. Step 2: Convert to fraction form
    342,724.35/473,610.24 = 257,693.79/x
  3. Step 3: Cross multiply
    342,724.35x = 473,610.24 × 257,693.79
  4. Step 4: Simplify right side
    342,724.35x = 122,046,417,728.41
  5. Step 5: Solve for x
    x = 122,046,417,728.41/342,724.35
  6. Step 6: Final answer
    x = 356,106.64

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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.