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Finding the Fourth Proportional to 402,077.45, 602,197.64 and 191,863.01

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Solution

The fourth proportional to 402,077.45, 602,197.64 and 191,863.01 is: 287,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,077.45 : 602,197.64 = 191,863.01 : x
  2. Step 2: Convert to fraction form
    402,077.45/602,197.64 = 191,863.01/x
  3. Step 3: Cross multiply
    402,077.45x = 602,197.64 × 191,863.01
  4. Step 4: Simplify right side
    402,077.45x = 115,539,453,090.96
  5. Step 5: Solve for x
    x = 115,539,453,090.96/402,077.45
  6. Step 6: Final answer
    x = 287,356.21

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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.