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Finding the Fourth Proportional to 357,993.13, 493,907.58 and 221,978.11

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Solution

The fourth proportional to 357,993.13, 493,907.58 and 221,978.11 is: 306,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,993.13 : 493,907.58 = 221,978.11 : x
  2. Step 2: Convert to fraction form
    357,993.13/493,907.58 = 221,978.11/x
  3. Step 3: Cross multiply
    357,993.13x = 493,907.58 × 221,978.11
  4. Step 4: Simplify right side
    357,993.13x = 109,636,671,123.07
  5. Step 5: Solve for x
    x = 109,636,671,123.07/357,993.13
  6. Step 6: Final answer
    x = 306,253.56

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1.5x scale

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.