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Finding the Fourth Proportional to 390,468.60, 585,921.60 and 165,790.80

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Solution

The fourth proportional to 390,468.60, 585,921.60 and 165,790.80 is: 248,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,468.60 : 585,921.60 = 165,790.80 : x
  2. Step 2: Convert to fraction form
    390,468.60/585,921.60 = 165,790.80/x
  3. Step 3: Cross multiply
    390,468.60x = 585,921.60 × 165,790.80
  4. Step 4: Simplify right side
    390,468.60x = 97,140,410,801.28
  5. Step 5: Solve for x
    x = 97,140,410,801.28/390,468.60
  6. Step 6: Final answer
    x = 248,779.06

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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.