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Finding the Fourth Proportional to 242,307.20, 362,769.60 and 214,659.20

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Solution

The fourth proportional to 242,307.20, 362,769.60 and 214,659.20 is: 321,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,307.20 : 362,769.60 = 214,659.20 : x
  2. Step 2: Convert to fraction form
    242,307.20/362,769.60 = 214,659.20/x
  3. Step 3: Cross multiply
    242,307.20x = 362,769.60 × 214,659.20
  4. Step 4: Simplify right side
    242,307.20x = 77,871,832,120.32
  5. Step 5: Solve for x
    x = 77,871,832,120.32/242,307.20
  6. Step 6: Final answer
    x = 321,376.47

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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.