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Finding the Fourth Proportional to 384,002.60, 576,003.90 and 258,031.40

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Solution

The fourth proportional to 384,002.60, 576,003.90 and 258,031.40 is: 387,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,002.60 : 576,003.90 = 258,031.40 : x
  2. Step 2: Convert to fraction form
    384,002.60/576,003.90 = 258,031.40/x
  3. Step 3: Cross multiply
    384,002.60x = 576,003.90 × 258,031.40
  4. Step 4: Simplify right side
    384,002.60x = 148,627,092,722.46
  5. Step 5: Solve for x
    x = 148,627,092,722.46/384,002.60
  6. Step 6: Final answer
    x = 387,047.10

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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.