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Finding the Fourth Proportional to 659,196, 988,207.60 and 238,378.40

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Solution

The fourth proportional to 659,196, 988,207.60 and 238,378.40 is: 357,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,196 : 988,207.60 = 238,378.40 : x
  2. Step 2: Convert to fraction form
    659,196/988,207.60 = 238,378.40/x
  3. Step 3: Cross multiply
    659,196x = 988,207.60 × 238,378.40
  4. Step 4: Simplify right side
    659,196x = 235,567,346,555.84
  5. Step 5: Solve for x
    x = 235,567,346,555.84/659,196
  6. Step 6: Final answer
    x = 357,355.55

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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.