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Finding the Fourth Proportional to 511,214.53, 705,528.54 and 307,331.45

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Solution

The fourth proportional to 511,214.53, 705,528.54 and 307,331.45 is: 424,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,214.53 : 705,528.54 = 307,331.45 : x
  2. Step 2: Convert to fraction form
    511,214.53/705,528.54 = 307,331.45/x
  3. Step 3: Cross multiply
    511,214.53x = 705,528.54 × 307,331.45
  4. Step 4: Simplify right side
    511,214.53x = 216,831,109,214.58
  5. Step 5: Solve for x
    x = 216,831,109,214.58/511,214.53
  6. Step 6: Final answer
    x = 424,148.96

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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.