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Finding the Fourth Proportional to 509,056.52, 702,502.26 and 282,705.80

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Solution

The fourth proportional to 509,056.52, 702,502.26 and 282,705.80 is: 390,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,056.52 : 702,502.26 = 282,705.80 : x
  2. Step 2: Convert to fraction form
    509,056.52/702,502.26 = 282,705.80/x
  3. Step 3: Cross multiply
    509,056.52x = 702,502.26 × 282,705.80
  4. Step 4: Simplify right side
    509,056.52x = 198,601,463,415.11
  5. Step 5: Solve for x
    x = 198,601,463,415.11/509,056.52
  6. Step 6: Final answer
    x = 390,136.37

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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.