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Finding the Fourth Proportional to 288,953.70, 432,847.35 and 164,148.90

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Solution

The fourth proportional to 288,953.70, 432,847.35 and 164,148.90 is: 245,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,953.70 : 432,847.35 = 164,148.90 : x
  2. Step 2: Convert to fraction form
    288,953.70/432,847.35 = 164,148.90/x
  3. Step 3: Cross multiply
    288,953.70x = 432,847.35 × 164,148.90
  4. Step 4: Simplify right side
    288,953.70x = 71,051,416,370.42
  5. Step 5: Solve for x
    x = 71,051,416,370.42/288,953.70
  6. Step 6: Final answer
    x = 245,892.05

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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.