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Finding the Fourth Proportional to 569,640, 854,255.70 and 170,206.32

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Solution

The fourth proportional to 569,640, 854,255.70 and 170,206.32 is: 255,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,640 : 854,255.70 = 170,206.32 : x
  2. Step 2: Convert to fraction form
    569,640/854,255.70 = 170,206.32/x
  3. Step 3: Cross multiply
    569,640x = 854,255.70 × 170,206.32
  4. Step 4: Simplify right side
    569,640x = 145,399,719,036.02
  5. Step 5: Solve for x
    x = 145,399,719,036.02/569,640
  6. Step 6: Final answer
    x = 255,248.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.