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Finding the Fourth Proportional to 531,095.34, 732,902.31 and 289,379.91

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Solution

The fourth proportional to 531,095.34, 732,902.31 and 289,379.91 is: 399,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,095.34 : 732,902.31 = 289,379.91 : x
  2. Step 2: Convert to fraction form
    531,095.34/732,902.31 = 289,379.91/x
  3. Step 3: Cross multiply
    531,095.34x = 732,902.31 × 289,379.91
  4. Step 4: Simplify right side
    531,095.34x = 212,087,204,506.59
  5. Step 5: Solve for x
    x = 212,087,204,506.59/531,095.34
  6. Step 6: Final answer
    x = 399,339.23

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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.