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Finding the Fourth Proportional to 702,803.96, 969,868.17 and 380,514

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Solution

The fourth proportional to 702,803.96, 969,868.17 and 380,514 is: 525,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,803.96 : 969,868.17 = 380,514 : x
  2. Step 2: Convert to fraction form
    702,803.96/969,868.17 = 380,514/x
  3. Step 3: Cross multiply
    702,803.96x = 969,868.17 × 380,514
  4. Step 4: Simplify right side
    702,803.96x = 369,048,416,839.38
  5. Step 5: Solve for x
    x = 369,048,416,839.38/702,803.96
  6. Step 6: Final answer
    x = 525,108.62

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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.