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Finding the Fourth Proportional to 288,814.01, 433,295.12 and 120,278.32

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Solution

The fourth proportional to 288,814.01, 433,295.12 and 120,278.32 is: 180,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,814.01 : 433,295.12 = 120,278.32 : x
  2. Step 2: Convert to fraction form
    288,814.01/433,295.12 = 120,278.32/x
  3. Step 3: Cross multiply
    288,814.01x = 433,295.12 × 120,278.32
  4. Step 4: Simplify right side
    288,814.01x = 52,116,008,315.26
  5. Step 5: Solve for x
    x = 52,116,008,315.26/288,814.01
  6. Step 6: Final answer
    x = 180,448.34

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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.