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Finding the Fourth Proportional to 923,780, 1,385,710.32 and 292,740.32

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Solution

The fourth proportional to 923,780, 1,385,710.32 and 292,740.32 is: 439,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,780 : 1,385,710.32 = 292,740.32 : x
  2. Step 2: Convert to fraction form
    923,780/1,385,710.32 = 292,740.32/x
  3. Step 3: Cross multiply
    923,780x = 1,385,710.32 × 292,740.32
  4. Step 4: Simplify right side
    923,780x = 405,653,282,504.10
  5. Step 5: Solve for x
    x = 405,653,282,504.10/923,780
  6. Step 6: Final answer
    x = 439,123.26

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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.