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Finding the Fourth Proportional to 288,678.90, 433,018.62 and 78,311.64

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Solution

The fourth proportional to 288,678.90, 433,018.62 and 78,311.64 is: 117,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,678.90 : 433,018.62 = 78,311.64 : x
  2. Step 2: Convert to fraction form
    288,678.90/433,018.62 = 78,311.64/x
  3. Step 3: Cross multiply
    288,678.90x = 433,018.62 × 78,311.64
  4. Step 4: Simplify right side
    288,678.90x = 33,910,398,282.74
  5. Step 5: Solve for x
    x = 33,910,398,282.74/288,678.90
  6. Step 6: Final answer
    x = 117,467.53

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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.