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Finding the Fourth Proportional to 407,062.17, 561,378.29 and 254,114.46

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Solution

The fourth proportional to 407,062.17, 561,378.29 and 254,114.46 is: 350,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,062.17 : 561,378.29 = 254,114.46 : x
  2. Step 2: Convert to fraction form
    407,062.17/561,378.29 = 254,114.46/x
  3. Step 3: Cross multiply
    407,062.17x = 561,378.29 × 254,114.46
  4. Step 4: Simplify right side
    407,062.17x = 142,654,339,748.50
  5. Step 5: Solve for x
    x = 142,654,339,748.50/407,062.17
  6. Step 6: Final answer
    x = 350,448.53

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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.