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Finding the Fourth Proportional to 402,168.51, 602,334.09 and 191,954.07

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Solution

The fourth proportional to 402,168.51, 602,334.09 and 191,954.07 is: 287,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,168.51 : 602,334.09 = 191,954.07 : x
  2. Step 2: Convert to fraction form
    402,168.51/602,334.09 = 191,954.07/x
  3. Step 3: Cross multiply
    402,168.51x = 602,334.09 × 191,954.07
  4. Step 4: Simplify right side
    402,168.51x = 115,620,480,075.25
  5. Step 5: Solve for x
    x = 115,620,480,075.25/402,168.51
  6. Step 6: Final answer
    x = 287,492.62

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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.