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Finding the Fourth Proportional to 356,506, 491,978.32 and 213,272.08

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Solution

The fourth proportional to 356,506, 491,978.32 and 213,272.08 is: 294,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,506 : 491,978.32 = 213,272.08 : x
  2. Step 2: Convert to fraction form
    356,506/491,978.32 = 213,272.08/x
  3. Step 3: Cross multiply
    356,506x = 491,978.32 × 213,272.08
  4. Step 4: Simplify right side
    356,506x = 104,925,239,621.31
  5. Step 5: Solve for x
    x = 104,925,239,621.31/356,506
  6. Step 6: Final answer
    x = 294,315.49

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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.