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Finding the Fourth Proportional to 409,532.68, 565,378.14 and 282,889.72

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Solution

The fourth proportional to 409,532.68, 565,378.14 and 282,889.72 is: 390,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,532.68 : 565,378.14 = 282,889.72 : x
  2. Step 2: Convert to fraction form
    409,532.68/565,378.14 = 282,889.72/x
  3. Step 3: Cross multiply
    409,532.68x = 565,378.14 × 282,889.72
  4. Step 4: Simplify right side
    409,532.68x = 159,939,663,718.72
  5. Step 5: Solve for x
    x = 159,939,663,718.72/409,532.68
  6. Step 6: Final answer
    x = 390,541.88

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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.