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Finding the Fourth Proportional to 407,824.80, 611,597.76 and 155,044.32

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Solution

The fourth proportional to 407,824.80, 611,597.76 and 155,044.32 is: 232,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,824.80 : 611,597.76 = 155,044.32 : x
  2. Step 2: Convert to fraction form
    407,824.80/611,597.76 = 155,044.32/x
  3. Step 3: Cross multiply
    407,824.80x = 611,597.76 × 155,044.32
  4. Step 4: Simplify right side
    407,824.80x = 94,824,758,812.72
  5. Step 5: Solve for x
    x = 94,824,758,812.72/407,824.80
  6. Step 6: Final answer
    x = 232,513.47

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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.