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Finding the Fourth Proportional to 507,970.53, 700,972.40 and 290,136.43

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Solution

The fourth proportional to 507,970.53, 700,972.40 and 290,136.43 is: 400,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,970.53 : 700,972.40 = 290,136.43 : x
  2. Step 2: Convert to fraction form
    507,970.53/700,972.40 = 290,136.43/x
  3. Step 3: Cross multiply
    507,970.53x = 700,972.40 × 290,136.43
  4. Step 4: Simplify right side
    507,970.53x = 203,377,630,389.87
  5. Step 5: Solve for x
    x = 203,377,630,389.87/507,970.53
  6. Step 6: Final answer
    x = 400,372.89

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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.