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Finding the Fourth Proportional to 287,445.73, 430,841.63 and 174,877.81

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Solution

The fourth proportional to 287,445.73, 430,841.63 and 174,877.81 is: 262,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,445.73 : 430,841.63 = 174,877.81 : x
  2. Step 2: Convert to fraction form
    287,445.73/430,841.63 = 174,877.81/x
  3. Step 3: Cross multiply
    287,445.73x = 430,841.63 × 174,877.81
  4. Step 4: Simplify right side
    287,445.73x = 75,344,638,557.02
  5. Step 5: Solve for x
    x = 75,344,638,557.02/287,445.73
  6. Step 6: Final answer
    x = 262,117.79

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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.