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Finding the Fourth Proportional to 498,273, 687,653.70 and 283,482.27

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Solution

The fourth proportional to 498,273, 687,653.70 and 283,482.27 is: 391,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,273 : 687,653.70 = 283,482.27 : x
  2. Step 2: Convert to fraction form
    498,273/687,653.70 = 283,482.27/x
  3. Step 3: Cross multiply
    498,273x = 687,653.70 × 283,482.27
  4. Step 4: Simplify right side
    498,273x = 194,937,631,849.90
  5. Step 5: Solve for x
    x = 194,937,631,849.90/498,273
  6. Step 6: Final answer
    x = 391,226.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.