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Finding the Fourth Proportional to 399,019.84, 598,530.45 and 319,563.17

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Solution

The fourth proportional to 399,019.84, 598,530.45 and 319,563.17 is: 479,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,019.84 : 598,530.45 = 319,563.17 : x
  2. Step 2: Convert to fraction form
    399,019.84/598,530.45 = 319,563.17/x
  3. Step 3: Cross multiply
    399,019.84x = 598,530.45 × 319,563.17
  4. Step 4: Simplify right side
    399,019.84x = 191,268,289,962.92
  5. Step 5: Solve for x
    x = 191,268,289,962.92/399,019.84
  6. Step 6: Final answer
    x = 479,345.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.