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Finding the Fourth Proportional to 288,023.70, 403,647.90 and 288,023.70

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Solution

The fourth proportional to 288,023.70, 403,647.90 and 288,023.70 is: 403,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,023.70 : 403,647.90 = 288,023.70 : x
  2. Step 2: Convert to fraction form
    288,023.70/403,647.90 = 288,023.70/x
  3. Step 3: Cross multiply
    288,023.70x = 403,647.90 × 288,023.70
  4. Step 4: Simplify right side
    288,023.70x = 116,260,161,655.23
  5. Step 5: Solve for x
    x = 116,260,161,655.23/288,023.70
  6. Step 6: Final answer
    x = 403,647.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.