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Finding the Fourth Proportional to 355,031.75, 532,812.12 and 260,506.19

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Solution

The fourth proportional to 355,031.75, 532,812.12 and 260,506.19 is: 390,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,031.75 : 532,812.12 = 260,506.19 : x
  2. Step 2: Convert to fraction form
    355,031.75/532,812.12 = 260,506.19/x
  3. Step 3: Cross multiply
    355,031.75x = 532,812.12 × 260,506.19
  4. Step 4: Simplify right side
    355,031.75x = 138,800,856,018.29
  5. Step 5: Solve for x
    x = 138,800,856,018.29/355,031.75
  6. Step 6: Final answer
    x = 390,953.36

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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.