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Finding the Fourth Proportional to 274,497.96, 409,878.47 and 242,207.93

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Solution

The fourth proportional to 274,497.96, 409,878.47 and 242,207.93 is: 361,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,497.96 : 409,878.47 = 242,207.93 : x
  2. Step 2: Convert to fraction form
    274,497.96/409,878.47 = 242,207.93/x
  3. Step 3: Cross multiply
    274,497.96x = 409,878.47 × 242,207.93
  4. Step 4: Simplify right side
    274,497.96x = 99,275,812,509.84
  5. Step 5: Solve for x
    x = 99,275,812,509.84/274,497.96
  6. Step 6: Final answer
    x = 361,663.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.