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Finding the Fourth Proportional to 497,656.20, 686,696.40 and 293,715.72

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Solution

The fourth proportional to 497,656.20, 686,696.40 and 293,715.72 is: 405,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,656.20 : 686,696.40 = 293,715.72 : x
  2. Step 2: Convert to fraction form
    497,656.20/686,696.40 = 293,715.72/x
  3. Step 3: Cross multiply
    497,656.20x = 686,696.40 × 293,715.72
  4. Step 4: Simplify right side
    497,656.20x = 201,693,527,547.41
  5. Step 5: Solve for x
    x = 201,693,527,547.41/497,656.20
  6. Step 6: Final answer
    x = 405,286.88

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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.