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Finding the Fourth Proportional to 407,865.75, 611,860.68 and 208,077.03

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Solution

The fourth proportional to 407,865.75, 611,860.68 and 208,077.03 is: 312,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,865.75 : 611,860.68 = 208,077.03 : x
  2. Step 2: Convert to fraction form
    407,865.75/611,860.68 = 208,077.03/x
  3. Step 3: Cross multiply
    407,865.75x = 611,860.68 × 208,077.03
  4. Step 4: Simplify right side
    407,865.75x = 127,314,153,068.18
  5. Step 5: Solve for x
    x = 127,314,153,068.18/407,865.75
  6. Step 6: Final answer
    x = 312,147.20

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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.