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Finding the Fourth Proportional to 551,665.21, 761,321.51 and 309,948.25

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Solution

The fourth proportional to 551,665.21, 761,321.51 and 309,948.25 is: 427,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,665.21 : 761,321.51 = 309,948.25 : x
  2. Step 2: Convert to fraction form
    551,665.21/761,321.51 = 309,948.25/x
  3. Step 3: Cross multiply
    551,665.21x = 761,321.51 × 309,948.25
  4. Step 4: Simplify right side
    551,665.21x = 235,970,266,258.81
  5. Step 5: Solve for x
    x = 235,970,266,258.81/551,665.21
  6. Step 6: Final answer
    x = 427,741.80

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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.