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Finding the Fourth Proportional to 387,883.92, 535,151.16 and 316,140.72

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Solution

The fourth proportional to 387,883.92, 535,151.16 and 316,140.72 is: 436,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,883.92 : 535,151.16 = 316,140.72 : x
  2. Step 2: Convert to fraction form
    387,883.92/535,151.16 = 316,140.72/x
  3. Step 3: Cross multiply
    387,883.92x = 535,151.16 × 316,140.72
  4. Step 4: Simplify right side
    387,883.92x = 169,183,073,031.24
  5. Step 5: Solve for x
    x = 169,183,073,031.24/387,883.92
  6. Step 6: Final answer
    x = 436,169.34

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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.