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Finding the Fourth Proportional to 486,705.02, 729,540.54 and 287,119.40

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Solution

The fourth proportional to 486,705.02, 729,540.54 and 287,119.40 is: 430,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,705.02 : 729,540.54 = 287,119.40 : x
  2. Step 2: Convert to fraction form
    486,705.02/729,540.54 = 287,119.40/x
  3. Step 3: Cross multiply
    486,705.02x = 729,540.54 × 287,119.40
  4. Step 4: Simplify right side
    486,705.02x = 209,465,238,472.77
  5. Step 5: Solve for x
    x = 209,465,238,472.77/486,705.02
  6. Step 6: Final answer
    x = 430,374.11

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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.