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Finding the Fourth Proportional to 287,577.10, 431,041.65 and 137,889.10

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Solution

The fourth proportional to 287,577.10, 431,041.65 and 137,889.10 is: 206,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,577.10 : 431,041.65 = 137,889.10 : x
  2. Step 2: Convert to fraction form
    287,577.10/431,041.65 = 137,889.10/x
  3. Step 3: Cross multiply
    287,577.10x = 431,041.65 × 137,889.10
  4. Step 4: Simplify right side
    287,577.10x = 59,435,945,181.02
  5. Step 5: Solve for x
    x = 59,435,945,181.02/287,577.10
  6. Step 6: Final answer
    x = 206,678.30

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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.