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Finding the Fourth Proportional to 585,138.70, 820,300.10 and 585,138.70

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Solution

The fourth proportional to 585,138.70, 820,300.10 and 585,138.70 is: 820,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,138.70 : 820,300.10 = 585,138.70 : x
  2. Step 2: Convert to fraction form
    585,138.70/820,300.10 = 585,138.70/x
  3. Step 3: Cross multiply
    585,138.70x = 820,300.10 × 585,138.70
  4. Step 4: Simplify right side
    585,138.70x = 479,989,334,123.87
  5. Step 5: Solve for x
    x = 479,989,334,123.87/585,138.70
  6. Step 6: Final answer
    x = 820,300.10

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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.