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Finding the Fourth Proportional to 702,947.45, 970,068 and 380,657.90

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Solution

The fourth proportional to 702,947.45, 970,068 and 380,657.90 is: 525,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,947.45 : 970,068 = 380,657.90 : x
  2. Step 2: Convert to fraction form
    702,947.45/970,068 = 380,657.90/x
  3. Step 3: Cross multiply
    702,947.45x = 970,068 × 380,657.90
  4. Step 4: Simplify right side
    702,947.45x = 369,264,042,886.86
  5. Step 5: Solve for x
    x = 369,264,042,886.86/702,947.45
  6. Step 6: Final answer
    x = 525,308.18

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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.