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Finding the Fourth Proportional to 646,004.16, 969,514.11 and 447,718.59

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Solution

The fourth proportional to 646,004.16, 969,514.11 and 447,718.59 is: 671,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,004.16 : 969,514.11 = 447,718.59 : x
  2. Step 2: Convert to fraction form
    646,004.16/969,514.11 = 447,718.59/x
  3. Step 3: Cross multiply
    646,004.16x = 969,514.11 × 447,718.59
  4. Step 4: Simplify right side
    646,004.16x = 434,069,490,314.31
  5. Step 5: Solve for x
    x = 434,069,490,314.31/646,004.16
  6. Step 6: Final answer
    x = 671,929.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.