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Finding the Fourth Proportional to 486,002.10, 678,828.30 and 486,002.10

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Solution

The fourth proportional to 486,002.10, 678,828.30 and 486,002.10 is: 678,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,002.10 : 678,828.30 = 486,002.10 : x
  2. Step 2: Convert to fraction form
    486,002.10/678,828.30 = 486,002.10/x
  3. Step 3: Cross multiply
    486,002.10x = 678,828.30 × 486,002.10
  4. Step 4: Simplify right side
    486,002.10x = 329,911,979,339.43
  5. Step 5: Solve for x
    x = 329,911,979,339.43/486,002.10
  6. Step 6: Final answer
    x = 678,828.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.