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Finding the Fourth Proportional to 1,066,976.16, 1,472,961.96 and 824,711.28

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Solution

The fourth proportional to 1,066,976.16, 1,472,961.96 and 824,711.28 is: 1,138,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066,976.16 : 1,472,961.96 = 824,711.28 : x
  2. Step 2: Convert to fraction form
    1,066,976.16/1,472,961.96 = 824,711.28/x
  3. Step 3: Cross multiply
    1,066,976.16x = 1,472,961.96 × 824,711.28
  4. Step 4: Simplify right side
    1,066,976.16x = 1,214,768,343,422.91
  5. Step 5: Solve for x
    x = 1,214,768,343,422.91/1,066,976.16
  6. Step 6: Final answer
    x = 1,138,514.98

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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.