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Finding the Fourth Proportional to 343,802.16, 474,455.16 and 192,910.32

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Solution

The fourth proportional to 343,802.16, 474,455.16 and 192,910.32 is: 266,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,802.16 : 474,455.16 = 192,910.32 : x
  2. Step 2: Convert to fraction form
    343,802.16/474,455.16 = 192,910.32/x
  3. Step 3: Cross multiply
    343,802.16x = 474,455.16 × 192,910.32
  4. Step 4: Simplify right side
    343,802.16x = 91,527,296,741.25
  5. Step 5: Solve for x
    x = 91,527,296,741.25/343,802.16
  6. Step 6: Final answer
    x = 266,220.83

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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.