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Finding the Fourth Proportional to 507,731.04, 700,691.76 and 281,361.96

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Solution

The fourth proportional to 507,731.04, 700,691.76 and 281,361.96 is: 388,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,731.04 : 700,691.76 = 281,361.96 : x
  2. Step 2: Convert to fraction form
    507,731.04/700,691.76 = 281,361.96/x
  3. Step 3: Cross multiply
    507,731.04x = 700,691.76 × 281,361.96
  4. Step 4: Simplify right side
    507,731.04x = 197,148,006,949.45
  5. Step 5: Solve for x
    x = 197,148,006,949.45/507,731.04
  6. Step 6: Final answer
    x = 388,292.21

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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.