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Finding the Fourth Proportional to 497,325.25, 686,308.85 and 270,970.75

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Solution

The fourth proportional to 497,325.25, 686,308.85 and 270,970.75 is: 373,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,325.25 : 686,308.85 = 270,970.75 : x
  2. Step 2: Convert to fraction form
    497,325.25/686,308.85 = 270,970.75/x
  3. Step 3: Cross multiply
    497,325.25x = 686,308.85 × 270,970.75
  4. Step 4: Simplify right side
    497,325.25x = 185,969,623,816.14
  5. Step 5: Solve for x
    x = 185,969,623,816.14/497,325.25
  6. Step 6: Final answer
    x = 373,939.64

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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.