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Finding the Fourth Proportional to 407,438.06, 611,756.90 and 227,875.28

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Solution

The fourth proportional to 407,438.06, 611,756.90 and 227,875.28 is: 342,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,438.06 : 611,756.90 = 227,875.28 : x
  2. Step 2: Convert to fraction form
    407,438.06/611,756.90 = 227,875.28/x
  3. Step 3: Cross multiply
    407,438.06x = 611,756.90 × 227,875.28
  4. Step 4: Simplify right side
    407,438.06x = 139,404,270,681.27
  5. Step 5: Solve for x
    x = 139,404,270,681.27/407,438.06
  6. Step 6: Final answer
    x = 342,148.38

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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.