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Finding the Fourth Proportional to 531,271.79, 733,133.67 and 289,549.16

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Solution

The fourth proportional to 531,271.79, 733,133.67 and 289,549.16 is: 399,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,271.79 : 733,133.67 = 289,549.16 : x
  2. Step 2: Convert to fraction form
    531,271.79/733,133.67 = 289,549.16/x
  3. Step 3: Cross multiply
    531,271.79x = 733,133.67 × 289,549.16
  4. Step 4: Simplify right side
    531,271.79x = 212,278,234,650.55
  5. Step 5: Solve for x
    x = 212,278,234,650.55/531,271.79
  6. Step 6: Final answer
    x = 399,566.17

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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.