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Finding the Fourth Proportional to 274,151.16, 410,089.48 and 257,355

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Solution

The fourth proportional to 274,151.16, 410,089.48 and 257,355 is: 384,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,151.16 : 410,089.48 = 257,355 : x
  2. Step 2: Convert to fraction form
    274,151.16/410,089.48 = 257,355/x
  3. Step 3: Cross multiply
    274,151.16x = 410,089.48 × 257,355
  4. Step 4: Simplify right side
    274,151.16x = 105,538,578,125.40
  5. Step 5: Solve for x
    x = 105,538,578,125.40/274,151.16
  6. Step 6: Final answer
    x = 384,964.92

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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.