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Finding the Fourth Proportional to 384,616.65, 530,802 and 212,549.76

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Solution

The fourth proportional to 384,616.65, 530,802 and 212,549.76 is: 293,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,616.65 : 530,802 = 212,549.76 : x
  2. Step 2: Convert to fraction form
    384,616.65/530,802 = 212,549.76/x
  3. Step 3: Cross multiply
    384,616.65x = 530,802 × 212,549.76
  4. Step 4: Simplify right side
    384,616.65x = 112,821,837,707.52
  5. Step 5: Solve for x
    x = 112,821,837,707.52/384,616.65
  6. Step 6: Final answer
    x = 293,335.81

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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.