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Finding the Fourth Proportional to 497,254.86, 686,031.71 and 325,271.00

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Solution

The fourth proportional to 497,254.86, 686,031.71 and 325,271.00 is: 448,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,254.86 : 686,031.71 = 325,271.00 : x
  2. Step 2: Convert to fraction form
    497,254.86/686,031.71 = 325,271.00/x
  3. Step 3: Cross multiply
    497,254.86x = 686,031.71 × 325,271.00
  4. Step 4: Simplify right side
    497,254.86x = 223,146,215,286.90
  5. Step 5: Solve for x
    x = 223,146,215,286.90/497,254.86
  6. Step 6: Final answer
    x = 448,756.23

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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.