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Finding the Fourth Proportional to 390,055.80, 585,140.40 and 165,415.80

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Solution

The fourth proportional to 390,055.80, 585,140.40 and 165,415.80 is: 248,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,055.80 : 585,140.40 = 165,415.80 : x
  2. Step 2: Convert to fraction form
    390,055.80/585,140.40 = 165,415.80/x
  3. Step 3: Cross multiply
    390,055.80x = 585,140.40 × 165,415.80
  4. Step 4: Simplify right side
    390,055.80x = 96,791,467,378.32
  5. Step 5: Solve for x
    x = 96,791,467,378.32/390,055.80
  6. Step 6: Final answer
    x = 248,147.75

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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.