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Finding the Fourth Proportional to 288,742.75, 433,114.13 and 120,342.40

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Solution

The fourth proportional to 288,742.75, 433,114.13 and 120,342.40 is: 180,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,742.75 : 433,114.13 = 120,342.40 : x
  2. Step 2: Convert to fraction form
    288,742.75/433,114.13 = 120,342.40/x
  3. Step 3: Cross multiply
    288,742.75x = 433,114.13 × 120,342.40
  4. Step 4: Simplify right side
    288,742.75x = 52,121,993,878.11
  5. Step 5: Solve for x
    x = 52,121,993,878.11/288,742.75
  6. Step 6: Final answer
    x = 180,513.60

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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.