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Finding the Fourth Proportional to 703,266.68, 970,508.48 and 380,978.06

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Solution

The fourth proportional to 703,266.68, 970,508.48 and 380,978.06 is: 525,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,266.68 : 970,508.48 = 380,978.06 : x
  2. Step 2: Convert to fraction form
    703,266.68/970,508.48 = 380,978.06/x
  3. Step 3: Cross multiply
    703,266.68x = 970,508.48 × 380,978.06
  4. Step 4: Simplify right side
    703,266.68x = 369,742,431,166.52
  5. Step 5: Solve for x
    x = 369,742,431,166.52/703,266.68
  6. Step 6: Final answer
    x = 525,749.96

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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.