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Finding the Fourth Proportional to 576,031.40, 862,880.70 and 326,421.80

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Solution

The fourth proportional to 576,031.40, 862,880.70 and 326,421.80 is: 488,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,031.40 : 862,880.70 = 326,421.80 : x
  2. Step 2: Convert to fraction form
    576,031.40/862,880.70 = 326,421.80/x
  3. Step 3: Cross multiply
    576,031.40x = 862,880.70 × 326,421.80
  4. Step 4: Simplify right side
    576,031.40x = 281,663,071,279.26
  5. Step 5: Solve for x
    x = 281,663,071,279.26/576,031.40
  6. Step 6: Final answer
    x = 488,971.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.