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Finding the Fourth Proportional to 288,849.86, 433,168.64 and 99,256.46

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Solution

The fourth proportional to 288,849.86, 433,168.64 and 99,256.46 is: 148,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,849.86 : 433,168.64 = 99,256.46 : x
  2. Step 2: Convert to fraction form
    288,849.86/433,168.64 = 99,256.46/x
  3. Step 3: Cross multiply
    288,849.86x = 433,168.64 × 99,256.46
  4. Step 4: Simplify right side
    288,849.86x = 42,994,785,789.41
  5. Step 5: Solve for x
    x = 42,994,785,789.41/288,849.86
  6. Step 6: Final answer
    x = 148,848.21

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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.