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Finding the Fourth Proportional to 703,081.78, 970,248 and 380,784.50

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Solution

The fourth proportional to 703,081.78, 970,248 and 380,784.50 is: 525,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,081.78 : 970,248 = 380,784.50 : x
  2. Step 2: Convert to fraction form
    703,081.78/970,248 = 380,784.50/x
  3. Step 3: Cross multiply
    703,081.78x = 970,248 × 380,784.50
  4. Step 4: Simplify right side
    703,081.78x = 369,455,399,556
  5. Step 5: Solve for x
    x = 369,455,399,556/703,081.78
  6. Step 6: Final answer
    x = 525,479.98

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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.