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Finding the Fourth Proportional to 402,112.15, 602,249.28 and 191,897.71

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Solution

The fourth proportional to 402,112.15, 602,249.28 and 191,897.71 is: 287,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,112.15 : 602,249.28 = 191,897.71 : x
  2. Step 2: Convert to fraction form
    402,112.15/602,249.28 = 191,897.71/x
  3. Step 3: Cross multiply
    402,112.15x = 602,249.28 × 191,897.71
  4. Step 4: Simplify right side
    402,112.15x = 115,570,257,681.15
  5. Step 5: Solve for x
    x = 115,570,257,681.15/402,112.15
  6. Step 6: Final answer
    x = 287,408.02

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1.5x scale

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.