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Finding the Fourth Proportional to 390,521, 538,918.98 and 211,673

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Solution

The fourth proportional to 390,521, 538,918.98 and 211,673 is: 292,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,521 : 538,918.98 = 211,673 : x
  2. Step 2: Convert to fraction form
    390,521/538,918.98 = 211,673/x
  3. Step 3: Cross multiply
    390,521x = 538,918.98 × 211,673
  4. Step 4: Simplify right side
    390,521x = 114,074,597,253.54
  5. Step 5: Solve for x
    x = 114,074,597,253.54/390,521
  6. Step 6: Final answer
    x = 292,108.74

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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.