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Finding the Fourth Proportional to 502,465.40, 753,467.70 and 221,838.20

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Solution

The fourth proportional to 502,465.40, 753,467.70 and 221,838.20 is: 332,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,465.40 : 753,467.70 = 221,838.20 : x
  2. Step 2: Convert to fraction form
    502,465.40/753,467.70 = 221,838.20/x
  3. Step 3: Cross multiply
    502,465.40x = 753,467.70 × 221,838.20
  4. Step 4: Simplify right side
    502,465.40x = 167,147,918,326.14
  5. Step 5: Solve for x
    x = 167,147,918,326.14/502,465.40
  6. Step 6: Final answer
    x = 332,655.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.