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Finding the Fourth Proportional to 498,570.21, 687,199.63 and 353,189.71

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Solution

The fourth proportional to 498,570.21, 687,199.63 and 353,189.71 is: 486,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,570.21 : 687,199.63 = 353,189.71 : x
  2. Step 2: Convert to fraction form
    498,570.21/687,199.63 = 353,189.71/x
  3. Step 3: Cross multiply
    498,570.21x = 687,199.63 × 353,189.71
  4. Step 4: Simplify right side
    498,570.21x = 242,711,838,031.81
  5. Step 5: Solve for x
    x = 242,711,838,031.81/498,570.21
  6. Step 6: Final answer
    x = 486,815.76

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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.