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Finding the Fourth Proportional to 531,357.08, 733,280.49 and 289,639.71

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Solution

The fourth proportional to 531,357.08, 733,280.49 and 289,639.71 is: 399,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,357.08 : 733,280.49 = 289,639.71 : x
  2. Step 2: Convert to fraction form
    531,357.08/733,280.49 = 289,639.71/x
  3. Step 3: Cross multiply
    531,357.08x = 733,280.49 × 289,639.71
  4. Step 4: Simplify right side
    531,357.08x = 212,387,148,472.26
  5. Step 5: Solve for x
    x = 212,387,148,472.26/531,357.08
  6. Step 6: Final answer
    x = 399,707.01

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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.