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Finding the Fourth Proportional to 403,436, 556,780.56 and 224,588

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Solution

The fourth proportional to 403,436, 556,780.56 and 224,588 is: 309,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,436 : 556,780.56 = 224,588 : x
  2. Step 2: Convert to fraction form
    403,436/556,780.56 = 224,588/x
  3. Step 3: Cross multiply
    403,436x = 556,780.56 × 224,588
  4. Step 4: Simplify right side
    403,436x = 125,046,232,409.28
  5. Step 5: Solve for x
    x = 125,046,232,409.28/403,436
  6. Step 6: Final answer
    x = 309,953.08

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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.