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Finding the Fourth Proportional to 498,184.84, 687,297.54 and 306,866.44

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Solution

The fourth proportional to 498,184.84, 687,297.54 and 306,866.44 is: 423,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,184.84 : 687,297.54 = 306,866.44 : x
  2. Step 2: Convert to fraction form
    498,184.84/687,297.54 = 306,866.44/x
  3. Step 3: Cross multiply
    498,184.84x = 687,297.54 × 306,866.44
  4. Step 4: Simplify right side
    498,184.84x = 210,908,549,320.56
  5. Step 5: Solve for x
    x = 210,908,549,320.56/498,184.84
  6. Step 6: Final answer
    x = 423,354.01

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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.