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Finding the Fourth Proportional to 923,725, 1,385,665.26 and 258,877

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Solution

The fourth proportional to 923,725, 1,385,665.26 and 258,877 is: 388,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,725 : 1,385,665.26 = 258,877 : x
  2. Step 2: Convert to fraction form
    923,725/1,385,665.26 = 258,877/x
  3. Step 3: Cross multiply
    923,725x = 1,385,665.26 × 258,877
  4. Step 4: Simplify right side
    923,725x = 358,716,865,513.02
  5. Step 5: Solve for x
    x = 358,716,865,513.02/923,725
  6. Step 6: Final answer
    x = 388,337.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.