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Finding the Fourth Proportional to 390,340, 538,669.56 and 211,492

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Solution

The fourth proportional to 390,340, 538,669.56 and 211,492 is: 291,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,340 : 538,669.56 = 211,492 : x
  2. Step 2: Convert to fraction form
    390,340/538,669.56 = 211,492/x
  3. Step 3: Cross multiply
    390,340x = 538,669.56 × 211,492
  4. Step 4: Simplify right side
    390,340x = 113,924,302,583.52
  5. Step 5: Solve for x
    x = 113,924,302,583.52/390,340
  6. Step 6: Final answer
    x = 291,859.16

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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.