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Finding the Fourth Proportional to 355,411.70, 532,923.15 and 144,811.70

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Solution

The fourth proportional to 355,411.70, 532,923.15 and 144,811.70 is: 217,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,411.70 : 532,923.15 = 144,811.70 : x
  2. Step 2: Convert to fraction form
    355,411.70/532,923.15 = 144,811.70/x
  3. Step 3: Cross multiply
    355,411.70x = 532,923.15 × 144,811.70
  4. Step 4: Simplify right side
    355,411.70x = 77,173,507,320.86
  5. Step 5: Solve for x
    x = 77,173,507,320.86/355,411.70
  6. Step 6: Final answer
    x = 217,138.34

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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.