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Finding the Fourth Proportional to 653,013.18, 978,928.47 and 232,190.64

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Solution

The fourth proportional to 653,013.18, 978,928.47 and 232,190.64 is: 348,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,013.18 : 978,928.47 = 232,190.64 : x
  2. Step 2: Convert to fraction form
    653,013.18/978,928.47 = 232,190.64/x
  3. Step 3: Cross multiply
    653,013.18x = 978,928.47 × 232,190.64
  4. Step 4: Simplify right side
    653,013.18x = 227,298,027,963.52
  5. Step 5: Solve for x
    x = 227,298,027,963.52/653,013.18
  6. Step 6: Final answer
    x = 348,075.71

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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.