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Finding the Fourth Proportional to 497,281.35, 686,224.40 and 282,393.03

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Solution

The fourth proportional to 497,281.35, 686,224.40 and 282,393.03 is: 389,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,281.35 : 686,224.40 = 282,393.03 : x
  2. Step 2: Convert to fraction form
    497,281.35/686,224.40 = 282,393.03/x
  3. Step 3: Cross multiply
    497,281.35x = 686,224.40 × 282,393.03
  4. Step 4: Simplify right side
    497,281.35x = 193,784,986,163.97
  5. Step 5: Solve for x
    x = 193,784,986,163.97/497,281.35
  6. Step 6: Final answer
    x = 389,688.83

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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.