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Finding the Fourth Proportional to 475,236.39, 713,013.72 and 155,403

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Solution

The fourth proportional to 475,236.39, 713,013.72 and 155,403 is: 233,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,236.39 : 713,013.72 = 155,403 : x
  2. Step 2: Convert to fraction form
    475,236.39/713,013.72 = 155,403/x
  3. Step 3: Cross multiply
    475,236.39x = 713,013.72 × 155,403
  4. Step 4: Simplify right side
    475,236.39x = 110,804,471,129.16
  5. Step 5: Solve for x
    x = 110,804,471,129.16/475,236.39
  6. Step 6: Final answer
    x = 233,156.54

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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.