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Finding the Fourth Proportional to 702,432.81, 969,353.87 and 380,142.45

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Solution

The fourth proportional to 702,432.81, 969,353.87 and 380,142.45 is: 524,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,432.81 : 969,353.87 = 380,142.45 : x
  2. Step 2: Convert to fraction form
    702,432.81/969,353.87 = 380,142.45/x
  3. Step 3: Cross multiply
    702,432.81x = 969,353.87 × 380,142.45
  4. Step 4: Simplify right side
    702,432.81x = 368,492,553,158.07
  5. Step 5: Solve for x
    x = 368,492,553,158.07/702,432.81
  6. Step 6: Final answer
    x = 524,594.73

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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.