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Finding the Fourth Proportional to 702,690.20, 969,712.28 and 380,400.06

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Solution

The fourth proportional to 702,690.20, 969,712.28 and 380,400.06 is: 524,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,690.20 : 969,712.28 = 380,400.06 : x
  2. Step 2: Convert to fraction form
    702,690.20/969,712.28 = 380,400.06/x
  3. Step 3: Cross multiply
    702,690.20x = 969,712.28 × 380,400.06
  4. Step 4: Simplify right side
    702,690.20x = 368,878,607,592.74
  5. Step 5: Solve for x
    x = 368,878,607,592.74/702,690.20
  6. Step 6: Final answer
    x = 524,951.97

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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.