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Finding the Fourth Proportional to 287,501.58, 430,775.64 and 174,841.02

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Solution

The fourth proportional to 287,501.58, 430,775.64 and 174,841.02 is: 261,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,501.58 : 430,775.64 = 174,841.02 : x
  2. Step 2: Convert to fraction form
    287,501.58/430,775.64 = 174,841.02/x
  3. Step 3: Cross multiply
    287,501.58x = 430,775.64 × 174,841.02
  4. Step 4: Simplify right side
    287,501.58x = 75,317,252,288.75
  5. Step 5: Solve for x
    x = 75,317,252,288.75/287,501.58
  6. Step 6: Final answer
    x = 261,971.61

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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.