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Finding the Fourth Proportional to 702,938.16, 970,059.24 and 380,648.28

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Solution

The fourth proportional to 702,938.16, 970,059.24 and 380,648.28 is: 525,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,938.16 : 970,059.24 = 380,648.28 : x
  2. Step 2: Convert to fraction form
    702,938.16/970,059.24 = 380,648.28/x
  3. Step 3: Cross multiply
    702,938.16x = 970,059.24 × 380,648.28
  4. Step 4: Simplify right side
    702,938.16x = 369,251,381,204.11
  5. Step 5: Solve for x
    x = 369,251,381,204.11/702,938.16
  6. Step 6: Final answer
    x = 525,297.11

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1.5x scale

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.