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Finding the Fourth Proportional to 384,224.87, 530,262.02 and 212,159.93

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Solution

The fourth proportional to 384,224.87, 530,262.02 and 212,159.93 is: 292,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,224.87 : 530,262.02 = 212,159.93 : x
  2. Step 2: Convert to fraction form
    384,224.87/530,262.02 = 212,159.93/x
  3. Step 3: Cross multiply
    384,224.87x = 530,262.02 × 212,159.93
  4. Step 4: Simplify right side
    384,224.87x = 112,500,350,923.95
  5. Step 5: Solve for x
    x = 112,500,350,923.95/384,224.87
  6. Step 6: Final answer
    x = 292,798.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.