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Finding the Fourth Proportional to 272,995.76, 409,526.45 and 258,065.84

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Solution

The fourth proportional to 272,995.76, 409,526.45 and 258,065.84 is: 387,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,995.76 : 409,526.45 = 258,065.84 : x
  2. Step 2: Convert to fraction form
    272,995.76/409,526.45 = 258,065.84/x
  3. Step 3: Cross multiply
    272,995.76x = 409,526.45 × 258,065.84
  4. Step 4: Simplify right side
    272,995.76x = 105,684,786,031.14
  5. Step 5: Solve for x
    x = 105,684,786,031.14/272,995.76
  6. Step 6: Final answer
    x = 387,129.77

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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.