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Finding the Fourth Proportional to 288,235.74, 432,344.22 and 130,464.30

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Solution

The fourth proportional to 288,235.74, 432,344.22 and 130,464.30 is: 195,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,235.74 : 432,344.22 = 130,464.30 : x
  2. Step 2: Convert to fraction form
    288,235.74/432,344.22 = 130,464.30/x
  3. Step 3: Cross multiply
    288,235.74x = 432,344.22 × 130,464.30
  4. Step 4: Simplify right side
    288,235.74x = 56,405,486,021.35
  5. Step 5: Solve for x
    x = 56,405,486,021.35/288,235.74
  6. Step 6: Final answer
    x = 195,692.20

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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.