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Finding the Fourth Proportional to 702,403.42, 969,312.24 and 396,483.70

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Solution

The fourth proportional to 702,403.42, 969,312.24 and 396,483.70 is: 547,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,403.42 : 969,312.24 = 396,483.70 : x
  2. Step 2: Convert to fraction form
    702,403.42/969,312.24 = 396,483.70/x
  3. Step 3: Cross multiply
    702,403.42x = 969,312.24 × 396,483.70
  4. Step 4: Simplify right side
    702,403.42x = 384,316,503,370.49
  5. Step 5: Solve for x
    x = 384,316,503,370.49/702,403.42
  6. Step 6: Final answer
    x = 547,144.98

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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.