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Finding the Fourth Proportional to 260,032.86, 390,004.74 and 82,500.30

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Solution

The fourth proportional to 260,032.86, 390,004.74 and 82,500.30 is: 123,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,032.86 : 390,004.74 = 82,500.30 : x
  2. Step 2: Convert to fraction form
    260,032.86/390,004.74 = 82,500.30/x
  3. Step 3: Cross multiply
    260,032.86x = 390,004.74 × 82,500.30
  4. Step 4: Simplify right side
    260,032.86x = 32,175,508,051.42
  5. Step 5: Solve for x
    x = 32,175,508,051.42/260,032.86
  6. Step 6: Final answer
    x = 123,736.32

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1.5x scale

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.