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Finding the Fourth Proportional to 355,726.91, 533,591.27 and 145,364.87

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Solution

The fourth proportional to 355,726.91, 533,591.27 and 145,364.87 is: 218,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,726.91 : 533,591.27 = 145,364.87 : x
  2. Step 2: Convert to fraction form
    355,726.91/533,591.27 = 145,364.87/x
  3. Step 3: Cross multiply
    355,726.91x = 533,591.27 × 145,364.87
  4. Step 4: Simplify right side
    355,726.91x = 77,565,424,869.86
  5. Step 5: Solve for x
    x = 77,565,424,869.86/355,726.91
  6. Step 6: Final answer
    x = 218,047.67

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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.