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Finding the Fourth Proportional to 486,016.40, 729,024.60 and 286,233.95

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Solution

The fourth proportional to 486,016.40, 729,024.60 and 286,233.95 is: 429,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,016.40 : 729,024.60 = 286,233.95 : x
  2. Step 2: Convert to fraction form
    486,016.40/729,024.60 = 286,233.95/x
  3. Step 3: Cross multiply
    486,016.40x = 729,024.60 × 286,233.95
  4. Step 4: Simplify right side
    486,016.40x = 208,671,590,905.17
  5. Step 5: Solve for x
    x = 208,671,590,905.17/486,016.40
  6. Step 6: Final answer
    x = 429,350.93

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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.