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Finding the Fourth Proportional to 371,416, 512,573.52 and 218,462.08

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Solution

The fourth proportional to 371,416, 512,573.52 and 218,462.08 is: 301,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,416 : 512,573.52 = 218,462.08 : x
  2. Step 2: Convert to fraction form
    371,416/512,573.52 = 218,462.08/x
  3. Step 3: Cross multiply
    371,416x = 512,573.52 × 218,462.08
  4. Step 4: Simplify right side
    371,416x = 111,977,877,332.12
  5. Step 5: Solve for x
    x = 111,977,877,332.12/371,416
  6. Step 6: Final answer
    x = 301,489.10

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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.