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Finding the Fourth Proportional to 390,391, 538,739.58 and 211,543

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Solution

The fourth proportional to 390,391, 538,739.58 and 211,543 is: 291,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,391 : 538,739.58 = 211,543 : x
  2. Step 2: Convert to fraction form
    390,391/538,739.58 = 211,543/x
  3. Step 3: Cross multiply
    390,391x = 538,739.58 × 211,543
  4. Step 4: Simplify right side
    390,391x = 113,966,586,971.94
  5. Step 5: Solve for x
    x = 113,966,586,971.94/390,391
  6. Step 6: Final answer
    x = 291,929.34

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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.