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Finding the Fourth Proportional to 702,804.71, 969,869.21 and 380,514.75

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Solution

The fourth proportional to 702,804.71, 969,869.21 and 380,514.75 is: 525,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,804.71 : 969,869.21 = 380,514.75 : x
  2. Step 2: Convert to fraction form
    702,804.71/969,869.21 = 380,514.75/x
  3. Step 3: Cross multiply
    702,804.71x = 969,869.21 × 380,514.75
  4. Step 4: Simplify right side
    702,804.71x = 369,049,538,073.27
  5. Step 5: Solve for x
    x = 369,049,538,073.27/702,804.71
  6. Step 6: Final answer
    x = 525,109.66

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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.