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Finding the Fourth Proportional to 408,830.67, 613,348.07 and 142,595.01

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Solution

The fourth proportional to 408,830.67, 613,348.07 and 142,595.01 is: 213,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,830.67 : 613,348.07 = 142,595.01 : x
  2. Step 2: Convert to fraction form
    408,830.67/613,348.07 = 142,595.01/x
  3. Step 3: Cross multiply
    408,830.67x = 613,348.07 × 142,595.01
  4. Step 4: Simplify right side
    408,830.67x = 87,460,373,462.16
  5. Step 5: Solve for x
    x = 87,460,373,462.16/408,830.67
  6. Step 6: Final answer
    x = 213,928.11

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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.