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Finding the Fourth Proportional to 407,859.34, 611,598.75 and 155,186.86

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Solution

The fourth proportional to 407,859.34, 611,598.75 and 155,186.86 is: 232,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,859.34 : 611,598.75 = 155,186.86 : x
  2. Step 2: Convert to fraction form
    407,859.34/611,598.75 = 155,186.86/x
  3. Step 3: Cross multiply
    407,859.34x = 611,598.75 × 155,186.86
  4. Step 4: Simplify right side
    407,859.34x = 94,912,089,592.43
  5. Step 5: Solve for x
    x = 94,912,089,592.43/407,859.34
  6. Step 6: Final answer
    x = 232,707.90

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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.