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Finding the Fourth Proportional to 288,678.45, 433,410.34 and 162,407.55

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Solution

The fourth proportional to 288,678.45, 433,410.34 and 162,407.55 is: 243,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,678.45 : 433,410.34 = 162,407.55 : x
  2. Step 2: Convert to fraction form
    288,678.45/433,410.34 = 162,407.55/x
  3. Step 3: Cross multiply
    288,678.45x = 433,410.34 × 162,407.55
  4. Step 4: Simplify right side
    288,678.45x = 70,389,109,703.03
  5. Step 5: Solve for x
    x = 70,389,109,703.03/288,678.45
  6. Step 6: Final answer
    x = 243,832.23

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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.