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Finding the Fourth Proportional to 287,431.81, 431,127.67 and 107,483.02

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Solution

The fourth proportional to 287,431.81, 431,127.67 and 107,483.02 is: 161,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,431.81 : 431,127.67 = 107,483.02 : x
  2. Step 2: Convert to fraction form
    287,431.81/431,127.67 = 107,483.02/x
  3. Step 3: Cross multiply
    287,431.81x = 431,127.67 × 107,483.02
  4. Step 4: Simplify right side
    287,431.81x = 46,338,903,977.16
  5. Step 5: Solve for x
    x = 46,338,903,977.16/287,431.81
  6. Step 6: Final answer
    x = 161,217.03

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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.