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Finding the Fourth Proportional to 345,143.66, 476,184.08 and 201,802.21

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Solution

The fourth proportional to 345,143.66, 476,184.08 and 201,802.21 is: 278,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,143.66 : 476,184.08 = 201,802.21 : x
  2. Step 2: Convert to fraction form
    345,143.66/476,184.08 = 201,802.21/x
  3. Step 3: Cross multiply
    345,143.66x = 476,184.08 × 201,802.21
  4. Step 4: Simplify right side
    345,143.66x = 96,094,999,024.86
  5. Step 5: Solve for x
    x = 96,094,999,024.86/345,143.66
  6. Step 6: Final answer
    x = 278,420.30

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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.