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Finding the Fourth Proportional to 486,024.10, 678,859.10 and 486,024.10

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Solution

The fourth proportional to 486,024.10, 678,859.10 and 486,024.10 is: 678,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,024.10 : 678,859.10 = 486,024.10 : x
  2. Step 2: Convert to fraction form
    486,024.10/678,859.10 = 486,024.10/x
  3. Step 3: Cross multiply
    486,024.10x = 678,859.10 × 486,024.10
  4. Step 4: Simplify right side
    486,024.10x = 329,941,883,104.31
  5. Step 5: Solve for x
    x = 329,941,883,104.31/486,024.10
  6. Step 6: Final answer
    x = 678,859.10

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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.