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Finding the Fourth Proportional to 210,478.17, 290,373.86 and 155,419.43

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Solution

The fourth proportional to 210,478.17, 290,373.86 and 155,419.43 is: 214,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,478.17 : 290,373.86 = 155,419.43 : x
  2. Step 2: Convert to fraction form
    210,478.17/290,373.86 = 155,419.43/x
  3. Step 3: Cross multiply
    210,478.17x = 290,373.86 × 155,419.43
  4. Step 4: Simplify right side
    210,478.17x = 45,129,738,744.78
  5. Step 5: Solve for x
    x = 45,129,738,744.78/210,478.17
  6. Step 6: Final answer
    x = 214,415.29

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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.