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Finding the Fourth Proportional to 705,096, 973,032.48 and 387,144

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Solution

The fourth proportional to 705,096, 973,032.48 and 387,144 is: 534,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,096 : 973,032.48 = 387,144 : x
  2. Step 2: Convert to fraction form
    705,096/973,032.48 = 387,144/x
  3. Step 3: Cross multiply
    705,096x = 973,032.48 × 387,144
  4. Step 4: Simplify right side
    705,096x = 376,703,686,437.12
  5. Step 5: Solve for x
    x = 376,703,686,437.12/705,096
  6. Step 6: Final answer
    x = 534,258.72

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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.