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Finding the Fourth Proportional to 368,051.80, 551,397.30 and 209,810.20

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Solution

The fourth proportional to 368,051.80, 551,397.30 and 209,810.20 is: 314,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,051.80 : 551,397.30 = 209,810.20 : x
  2. Step 2: Convert to fraction form
    368,051.80/551,397.30 = 209,810.20/x
  3. Step 3: Cross multiply
    368,051.80x = 551,397.30 × 209,810.20
  4. Step 4: Simplify right side
    368,051.80x = 115,688,777,792.46
  5. Step 5: Solve for x
    x = 115,688,777,792.46/368,051.80
  6. Step 6: Final answer
    x = 314,327.43

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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.