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Finding the Fourth Proportional to 210,307.47, 290,249.78 and 119,685.48

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Solution

The fourth proportional to 210,307.47, 290,249.78 and 119,685.48 is: 165,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,307.47 : 290,249.78 = 119,685.48 : x
  2. Step 2: Convert to fraction form
    210,307.47/290,249.78 = 119,685.48/x
  3. Step 3: Cross multiply
    210,307.47x = 290,249.78 × 119,685.48
  4. Step 4: Simplify right side
    210,307.47x = 34,738,683,640.77
  5. Step 5: Solve for x
    x = 34,738,683,640.77/210,307.47
  6. Step 6: Final answer
    x = 165,180.46

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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.