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Finding the Fourth Proportional to 857,730, 1,183,668.36 and 500,103.12

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Solution

The fourth proportional to 857,730, 1,183,668.36 and 500,103.12 is: 690,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,730 : 1,183,668.36 = 500,103.12 : x
  2. Step 2: Convert to fraction form
    857,730/1,183,668.36 = 500,103.12/x
  3. Step 3: Cross multiply
    857,730x = 1,183,668.36 × 500,103.12
  4. Step 4: Simplify right side
    857,730x = 591,956,239,881.28
  5. Step 5: Solve for x
    x = 591,956,239,881.28/857,730
  6. Step 6: Final answer
    x = 690,142.87

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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.