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Finding the Fourth Proportional to 501,254.73, 691,667.60 and 286,408.71

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Solution

The fourth proportional to 501,254.73, 691,667.60 and 286,408.71 is: 395,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,254.73 : 691,667.60 = 286,408.71 : x
  2. Step 2: Convert to fraction form
    501,254.73/691,667.60 = 286,408.71/x
  3. Step 3: Cross multiply
    501,254.73x = 691,667.60 × 286,408.71
  4. Step 4: Simplify right side
    501,254.73x = 198,099,623,632.75
  5. Step 5: Solve for x
    x = 198,099,623,632.75/501,254.73
  6. Step 6: Final answer
    x = 395,207.49

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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.