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Finding the Fourth Proportional to 407,965.69, 611,948.42 and 127,482.94

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Solution

The fourth proportional to 407,965.69, 611,948.42 and 127,482.94 is: 191,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,965.69 : 611,948.42 = 127,482.94 : x
  2. Step 2: Convert to fraction form
    407,965.69/611,948.42 = 127,482.94/x
  3. Step 3: Cross multiply
    407,965.69x = 611,948.42 × 127,482.94
  4. Step 4: Simplify right side
    407,965.69x = 78,012,983,709.95
  5. Step 5: Solve for x
    x = 78,012,983,709.95/407,965.69
  6. Step 6: Final answer
    x = 191,224.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.