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Finding the Fourth Proportional to 643,258.78, 963,670.26 and 429,381.79

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Solution

The fourth proportional to 643,258.78, 963,670.26 and 429,381.79 is: 643,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,258.78 : 963,670.26 = 429,381.79 : x
  2. Step 2: Convert to fraction form
    643,258.78/963,670.26 = 429,381.79/x
  3. Step 3: Cross multiply
    643,258.78x = 963,670.26 × 429,381.79
  4. Step 4: Simplify right side
    643,258.78x = 413,782,460,409.57
  5. Step 5: Solve for x
    x = 413,782,460,409.57/643,258.78
  6. Step 6: Final answer
    x = 643,259.72

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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.