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Finding the Fourth Proportional to 531,312, 733,211.76 and 289,597.20

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Solution

The fourth proportional to 531,312, 733,211.76 and 289,597.20 is: 399,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,312 : 733,211.76 = 289,597.20 : x
  2. Step 2: Convert to fraction form
    531,312/733,211.76 = 289,597.20/x
  3. Step 3: Cross multiply
    531,312x = 733,211.76 × 289,597.20
  4. Step 4: Simplify right side
    531,312x = 212,336,072,703.07
  5. Step 5: Solve for x
    x = 212,336,072,703.07/531,312
  6. Step 6: Final answer
    x = 399,644.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.