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Finding the Fourth Proportional to 407,880.02, 612,193.56 and 208,340.30

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Solution

The fourth proportional to 407,880.02, 612,193.56 and 208,340.30 is: 312,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,880.02 : 612,193.56 = 208,340.30 : x
  2. Step 2: Convert to fraction form
    407,880.02/612,193.56 = 208,340.30/x
  3. Step 3: Cross multiply
    407,880.02x = 612,193.56 × 208,340.30
  4. Step 4: Simplify right side
    407,880.02x = 127,544,589,948.47
  5. Step 5: Solve for x
    x = 127,544,589,948.47/407,880.02
  6. Step 6: Final answer
    x = 312,701.24

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1.5x scale

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.