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Finding the Fourth Proportional to 507,970.28, 700,972.06 and 290,136.18

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Solution

The fourth proportional to 507,970.28, 700,972.06 and 290,136.18 is: 400,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,970.28 : 700,972.06 = 290,136.18 : x
  2. Step 2: Convert to fraction form
    507,970.28/700,972.06 = 290,136.18/x
  3. Step 3: Cross multiply
    507,970.28x = 700,972.06 × 290,136.18
  4. Step 4: Simplify right side
    507,970.28x = 203,377,354,120.63
  5. Step 5: Solve for x
    x = 203,377,354,120.63/507,970.28
  6. Step 6: Final answer
    x = 400,372.54

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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.