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Finding the Fourth Proportional to 390,291.43, 538,595.16 and 220,521.91

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Solution

The fourth proportional to 390,291.43, 538,595.16 and 220,521.91 is: 304,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,291.43 : 538,595.16 = 220,521.91 : x
  2. Step 2: Convert to fraction form
    390,291.43/538,595.16 = 220,521.91/x
  3. Step 3: Cross multiply
    390,291.43x = 538,595.16 × 220,521.91
  4. Step 4: Simplify right side
    390,291.43x = 118,772,033,399.96
  5. Step 5: Solve for x
    x = 118,772,033,399.96/390,291.43
  6. Step 6: Final answer
    x = 304,316.27

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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.