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Finding the Fourth Proportional to 407,602.50, 611,398.59 and 287,161.86

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Solution

The fourth proportional to 407,602.50, 611,398.59 and 287,161.86 is: 430,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,602.50 : 611,398.59 = 287,161.86 : x
  2. Step 2: Convert to fraction form
    407,602.50/611,398.59 = 287,161.86/x
  3. Step 3: Cross multiply
    407,602.50x = 611,398.59 × 287,161.86
  4. Step 4: Simplify right side
    407,602.50x = 175,570,356,305.78
  5. Step 5: Solve for x
    x = 175,570,356,305.78/407,602.50
  6. Step 6: Final answer
    x = 430,739.15

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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.