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Finding the Fourth Proportional to 705,072, 972,999.36 and 387,120

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Solution

The fourth proportional to 705,072, 972,999.36 and 387,120 is: 534,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,072 : 972,999.36 = 387,120 : x
  2. Step 2: Convert to fraction form
    705,072/972,999.36 = 387,120/x
  3. Step 3: Cross multiply
    705,072x = 972,999.36 × 387,120
  4. Step 4: Simplify right side
    705,072x = 376,667,512,243.20
  5. Step 5: Solve for x
    x = 376,667,512,243.20/705,072
  6. Step 6: Final answer
    x = 534,225.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.