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Finding the Fourth Proportional to 386,266.40, 580,055.70 and 286,539.20

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Solution

The fourth proportional to 386,266.40, 580,055.70 and 286,539.20 is: 430,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,266.40 : 580,055.70 = 286,539.20 : x
  2. Step 2: Convert to fraction form
    386,266.40/580,055.70 = 286,539.20/x
  3. Step 3: Cross multiply
    386,266.40x = 580,055.70 × 286,539.20
  4. Step 4: Simplify right side
    386,266.40x = 166,208,696,233.44
  5. Step 5: Solve for x
    x = 166,208,696,233.44/386,266.40
  6. Step 6: Final answer
    x = 430,295.51

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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.