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Finding the Fourth Proportional to 371,584.53, 512,798.76 and 210,436.11

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Solution

The fourth proportional to 371,584.53, 512,798.76 and 210,436.11 is: 290,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,584.53 : 512,798.76 = 210,436.11 : x
  2. Step 2: Convert to fraction form
    371,584.53/512,798.76 = 210,436.11/x
  3. Step 3: Cross multiply
    371,584.53x = 512,798.76 × 210,436.11
  4. Step 4: Simplify right side
    371,584.53x = 107,911,376,267.22
  5. Step 5: Solve for x
    x = 107,911,376,267.22/371,584.53
  6. Step 6: Final answer
    x = 290,408.69

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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.