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Finding the Fourth Proportional to 384,931.29, 531,158.80 and 212,826

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Solution

The fourth proportional to 384,931.29, 531,158.80 and 212,826 is: 293,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,931.29 : 531,158.80 = 212,826 : x
  2. Step 2: Convert to fraction form
    384,931.29/531,158.80 = 212,826/x
  3. Step 3: Cross multiply
    384,931.29x = 531,158.80 × 212,826
  4. Step 4: Simplify right side
    384,931.29x = 113,044,402,768.80
  5. Step 5: Solve for x
    x = 113,044,402,768.80/384,931.29
  6. Step 6: Final answer
    x = 293,674.24

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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.