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Finding the Fourth Proportional to 288,678.86, 433,410.96 and 162,407.96

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Solution

The fourth proportional to 288,678.86, 433,410.96 and 162,407.96 is: 243,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,678.86 : 433,410.96 = 162,407.96 : x
  2. Step 2: Convert to fraction form
    288,678.86/433,410.96 = 162,407.96/x
  3. Step 3: Cross multiply
    288,678.86x = 433,410.96 × 162,407.96
  4. Step 4: Simplify right side
    288,678.86x = 70,389,387,688.19
  5. Step 5: Solve for x
    x = 70,389,387,688.19/288,678.86
  6. Step 6: Final answer
    x = 243,832.85

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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.