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Finding the Fourth Proportional to 393,312.32, 589,904.94 and 127,074.14

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Solution

The fourth proportional to 393,312.32, 589,904.94 and 127,074.14 is: 190,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,312.32 : 589,904.94 = 127,074.14 : x
  2. Step 2: Convert to fraction form
    393,312.32/589,904.94 = 127,074.14/x
  3. Step 3: Cross multiply
    393,312.32x = 589,904.94 × 127,074.14
  4. Step 4: Simplify right side
    393,312.32x = 74,961,662,932.25
  5. Step 5: Solve for x
    x = 74,961,662,932.25/393,312.32
  6. Step 6: Final answer
    x = 190,590.68

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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.