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Finding the Fourth Proportional to 387,884.92, 535,152.54 and 316,141.72

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Solution

The fourth proportional to 387,884.92, 535,152.54 and 316,141.72 is: 436,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,884.92 : 535,152.54 = 316,141.72 : x
  2. Step 2: Convert to fraction form
    387,884.92/535,152.54 = 316,141.72/x
  3. Step 3: Cross multiply
    387,884.92x = 535,152.54 × 316,141.72
  4. Step 4: Simplify right side
    387,884.92x = 169,184,044,457.97
  5. Step 5: Solve for x
    x = 169,184,044,457.97/387,884.92
  6. Step 6: Final answer
    x = 436,170.72

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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.