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Finding the Fourth Proportional to 497,280, 686,251.23 and 282,424.26

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Solution

The fourth proportional to 497,280, 686,251.23 and 282,424.26 is: 389,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,280 : 686,251.23 = 282,424.26 : x
  2. Step 2: Convert to fraction form
    497,280/686,251.23 = 282,424.26/x
  3. Step 3: Cross multiply
    497,280x = 686,251.23 × 282,424.26
  4. Step 4: Simplify right side
    497,280x = 193,813,995,806.84
  5. Step 5: Solve for x
    x = 193,813,995,806.84/497,280
  6. Step 6: Final answer
    x = 389,748.22

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1.5x scale

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.