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Finding the Fourth Proportional to 497,253.64, 686,030.02 and 325,269.78

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Solution

The fourth proportional to 497,253.64, 686,030.02 and 325,269.78 is: 448,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,253.64 : 686,030.02 = 325,269.78 : x
  2. Step 2: Convert to fraction form
    497,253.64/686,030.02 = 325,269.78/x
  3. Step 3: Cross multiply
    497,253.64x = 686,030.02 × 325,269.78
  4. Step 4: Simplify right side
    497,253.64x = 223,144,834,151.93
  5. Step 5: Solve for x
    x = 223,144,834,151.93/497,253.64
  6. Step 6: Final answer
    x = 448,754.55

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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.