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Finding the Fourth Proportional to 315,665.81, 473,498.66 and 115,899.76

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Solution

The fourth proportional to 315,665.81, 473,498.66 and 115,899.76 is: 173,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,665.81 : 473,498.66 = 115,899.76 : x
  2. Step 2: Convert to fraction form
    315,665.81/473,498.66 = 115,899.76/x
  3. Step 3: Cross multiply
    315,665.81x = 473,498.66 × 115,899.76
  4. Step 4: Simplify right side
    315,665.81x = 54,878,381,935.94
  5. Step 5: Solve for x
    x = 54,878,381,935.94/315,665.81
  6. Step 6: Final answer
    x = 173,849.62

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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.