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Finding the Fourth Proportional to 390,055.36, 585,083.04 and 137,276.32

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Solution

The fourth proportional to 390,055.36, 585,083.04 and 137,276.32 is: 205,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,055.36 : 585,083.04 = 137,276.32 : x
  2. Step 2: Convert to fraction form
    390,055.36/585,083.04 = 137,276.32/x
  3. Step 3: Cross multiply
    390,055.36x = 585,083.04 × 137,276.32
  4. Step 4: Simplify right side
    390,055.36x = 80,318,046,625.61
  5. Step 5: Solve for x
    x = 80,318,046,625.61/390,055.36
  6. Step 6: Final answer
    x = 205,914.48

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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.