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Finding the Fourth Proportional to 507,756, 700,703.28 and 281,435.52

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Solution

The fourth proportional to 507,756, 700,703.28 and 281,435.52 is: 388,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,756 : 700,703.28 = 281,435.52 : x
  2. Step 2: Convert to fraction form
    507,756/700,703.28 = 281,435.52/x
  3. Step 3: Cross multiply
    507,756x = 700,703.28 × 281,435.52
  4. Step 4: Simplify right side
    507,756x = 197,202,791,972.51
  5. Step 5: Solve for x
    x = 197,202,791,972.51/507,756
  6. Step 6: Final answer
    x = 388,381.02

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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.