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Finding the Fourth Proportional to 486,002.10, 728,675.10 and 258,335.40

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Solution

The fourth proportional to 486,002.10, 728,675.10 and 258,335.40 is: 387,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,002.10 : 728,675.10 = 258,335.40 : x
  2. Step 2: Convert to fraction form
    486,002.10/728,675.10 = 258,335.40/x
  3. Step 3: Cross multiply
    486,002.10x = 728,675.10 × 258,335.40
  4. Step 4: Simplify right side
    486,002.10x = 188,242,573,428.54
  5. Step 5: Solve for x
    x = 188,242,573,428.54/486,002.10
  6. Step 6: Final answer
    x = 387,328.72

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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.