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Finding the Fourth Proportional to 398,587.86, 597,779.64 and 118,039.50

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Solution

The fourth proportional to 398,587.86, 597,779.64 and 118,039.50 is: 177,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,587.86 : 597,779.64 = 118,039.50 : x
  2. Step 2: Convert to fraction form
    398,587.86/597,779.64 = 118,039.50/x
  3. Step 3: Cross multiply
    398,587.86x = 597,779.64 × 118,039.50
  4. Step 4: Simplify right side
    398,587.86x = 70,561,609,815.78
  5. Step 5: Solve for x
    x = 70,561,609,815.78/398,587.86
  6. Step 6: Final answer
    x = 177,029.00

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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.