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Finding the Fourth Proportional to 407,783.72, 611,676 and 155,004.80

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Solution

The fourth proportional to 407,783.72, 611,676 and 155,004.80 is: 232,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,783.72 : 611,676 = 155,004.80 : x
  2. Step 2: Convert to fraction form
    407,783.72/611,676 = 155,004.80/x
  3. Step 3: Cross multiply
    407,783.72x = 611,676 × 155,004.80
  4. Step 4: Simplify right side
    407,783.72x = 94,812,716,044.80
  5. Step 5: Solve for x
    x = 94,812,716,044.80/407,783.72
  6. Step 6: Final answer
    x = 232,507.36

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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.