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Finding the Fourth Proportional to 390,336.82, 538,657.80 and 220,567.30

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Solution

The fourth proportional to 390,336.82, 538,657.80 and 220,567.30 is: 304,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,336.82 : 538,657.80 = 220,567.30 : x
  2. Step 2: Convert to fraction form
    390,336.82/538,657.80 = 220,567.30/x
  3. Step 3: Cross multiply
    390,336.82x = 538,657.80 × 220,567.30
  4. Step 4: Simplify right side
    390,336.82x = 118,810,296,569.94
  5. Step 5: Solve for x
    x = 118,810,296,569.94/390,336.82
  6. Step 6: Final answer
    x = 304,378.91

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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.