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Finding the Fourth Proportional to 653,387.80, 901,647.30 and 381,470.80

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Solution

The fourth proportional to 653,387.80, 901,647.30 and 381,470.80 is: 526,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,387.80 : 901,647.30 = 381,470.80 : x
  2. Step 2: Convert to fraction form
    653,387.80/901,647.30 = 381,470.80/x
  3. Step 3: Cross multiply
    653,387.80x = 901,647.30 × 381,470.80
  4. Step 4: Simplify right side
    653,387.80x = 343,952,116,848.84
  5. Step 5: Solve for x
    x = 343,952,116,848.84/653,387.80
  6. Step 6: Final answer
    x = 526,413.44

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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.