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Finding the Fourth Proportional to 614,588, 921,976.98 and 209,685.42

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Solution

The fourth proportional to 614,588, 921,976.98 and 209,685.42 is: 314,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,588 : 921,976.98 = 209,685.42 : x
  2. Step 2: Convert to fraction form
    614,588/921,976.98 = 209,685.42/x
  3. Step 3: Cross multiply
    614,588x = 921,976.98 × 209,685.42
  4. Step 4: Simplify right side
    614,588x = 193,325,130,281.63
  5. Step 5: Solve for x
    x = 193,325,130,281.63/614,588
  6. Step 6: Final answer
    x = 314,560.54

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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.