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Finding the Fourth Proportional to 923,724, 1,385,663.76 and 258,876

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Solution

The fourth proportional to 923,724, 1,385,663.76 and 258,876 is: 388,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,724 : 1,385,663.76 = 258,876 : x
  2. Step 2: Convert to fraction form
    923,724/1,385,663.76 = 258,876/x
  3. Step 3: Cross multiply
    923,724x = 1,385,663.76 × 258,876
  4. Step 4: Simplify right side
    923,724x = 358,715,091,533.76
  5. Step 5: Solve for x
    x = 358,715,091,533.76/923,724
  6. Step 6: Final answer
    x = 388,335.79

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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.