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Finding the Fourth Proportional to 316,047.51, 436,264.16 and 207,158.86

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Solution

The fourth proportional to 316,047.51, 436,264.16 and 207,158.86 is: 285,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,047.51 : 436,264.16 = 207,158.86 : x
  2. Step 2: Convert to fraction form
    316,047.51/436,264.16 = 207,158.86/x
  3. Step 3: Cross multiply
    316,047.51x = 436,264.16 × 207,158.86
  4. Step 4: Simplify right side
    316,047.51x = 90,375,986,044.46
  5. Step 5: Solve for x
    x = 90,375,986,044.46/316,047.51
  6. Step 6: Final answer
    x = 285,956.96

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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.