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Finding the Fourth Proportional to 531,612.81, 733,643.40 and 289,908.61

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Solution

The fourth proportional to 531,612.81, 733,643.40 and 289,908.61 is: 400,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,612.81 : 733,643.40 = 289,908.61 : x
  2. Step 2: Convert to fraction form
    531,612.81/733,643.40 = 289,908.61/x
  3. Step 3: Cross multiply
    531,612.81x = 733,643.40 × 289,908.61
  4. Step 4: Simplify right side
    531,612.81x = 212,689,538,329.67
  5. Step 5: Solve for x
    x = 212,689,538,329.67/531,612.81
  6. Step 6: Final answer
    x = 400,083.55

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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.