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Finding the Fourth Proportional to 380,908.65, 524,456.98 and 323,427

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Solution

The fourth proportional to 380,908.65, 524,456.98 and 323,427 is: 445,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,908.65 : 524,456.98 = 323,427 : x
  2. Step 2: Convert to fraction form
    380,908.65/524,456.98 = 323,427/x
  3. Step 3: Cross multiply
    380,908.65x = 524,456.98 × 323,427
  4. Step 4: Simplify right side
    380,908.65x = 169,623,547,670.46
  5. Step 5: Solve for x
    x = 169,623,547,670.46/380,908.65
  6. Step 6: Final answer
    x = 445,312.93

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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.