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Finding the Fourth Proportional to 702,995.12, 970,128.20 and 380,697.74

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Solution

The fourth proportional to 702,995.12, 970,128.20 and 380,697.74 is: 525,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,995.12 : 970,128.20 = 380,697.74 : x
  2. Step 2: Convert to fraction form
    702,995.12/970,128.20 = 380,697.74/x
  3. Step 3: Cross multiply
    702,995.12x = 970,128.20 × 380,697.74
  4. Step 4: Simplify right side
    702,995.12x = 369,325,611,346.78
  5. Step 5: Solve for x
    x = 369,325,611,346.78/702,995.12
  6. Step 6: Final answer
    x = 525,360.14

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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.