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Finding the Fourth Proportional to 326,074.60, 488,507.10 and 185,415.40

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Solution

The fourth proportional to 326,074.60, 488,507.10 and 185,415.40 is: 277,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,074.60 : 488,507.10 = 185,415.40 : x
  2. Step 2: Convert to fraction form
    326,074.60/488,507.10 = 185,415.40/x
  3. Step 3: Cross multiply
    326,074.60x = 488,507.10 × 185,415.40
  4. Step 4: Simplify right side
    326,074.60x = 90,576,739,349.34
  5. Step 5: Solve for x
    x = 90,576,739,349.34/326,074.60
  6. Step 6: Final answer
    x = 277,779.19

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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.