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Finding the Fourth Proportional to 473,431.80, 709,802.10 and 192,804.60

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Solution

The fourth proportional to 473,431.80, 709,802.10 and 192,804.60 is: 289,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,431.80 : 709,802.10 = 192,804.60 : x
  2. Step 2: Convert to fraction form
    473,431.80/709,802.10 = 192,804.60/x
  3. Step 3: Cross multiply
    473,431.80x = 709,802.10 × 192,804.60
  4. Step 4: Simplify right side
    473,431.80x = 136,853,109,969.66
  5. Step 5: Solve for x
    x = 136,853,109,969.66/473,431.80
  6. Step 6: Final answer
    x = 289,066.15

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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.