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Finding the Fourth Proportional to 407,287.47, 610,136.52 and 266,619.63

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Solution

The fourth proportional to 407,287.47, 610,136.52 and 266,619.63 is: 399,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,287.47 : 610,136.52 = 266,619.63 : x
  2. Step 2: Convert to fraction form
    407,287.47/610,136.52 = 266,619.63/x
  3. Step 3: Cross multiply
    407,287.47x = 610,136.52 × 266,619.63
  4. Step 4: Simplify right side
    407,287.47x = 162,674,373,211.89
  5. Step 5: Solve for x
    x = 162,674,373,211.89/407,287.47
  6. Step 6: Final answer
    x = 399,409.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.