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Finding the Fourth Proportional to 407,756.97, 611,706.56 and 155,059.16

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Solution

The fourth proportional to 407,756.97, 611,706.56 and 155,059.16 is: 232,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,756.97 : 611,706.56 = 155,059.16 : x
  2. Step 2: Convert to fraction form
    407,756.97/611,706.56 = 155,059.16/x
  3. Step 3: Cross multiply
    407,756.97x = 611,706.56 × 155,059.16
  4. Step 4: Simplify right side
    407,756.97x = 94,850,701,526.26
  5. Step 5: Solve for x
    x = 94,850,701,526.26/407,756.97
  6. Step 6: Final answer
    x = 232,615.77

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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.