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Finding the Fourth Proportional to 287,269.20, 430,903.80 and 145,551.60

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Solution

The fourth proportional to 287,269.20, 430,903.80 and 145,551.60 is: 218,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,269.20 : 430,903.80 = 145,551.60 : x
  2. Step 2: Convert to fraction form
    287,269.20/430,903.80 = 145,551.60/x
  3. Step 3: Cross multiply
    287,269.20x = 430,903.80 × 145,551.60
  4. Step 4: Simplify right side
    287,269.20x = 62,718,737,536.08
  5. Step 5: Solve for x
    x = 62,718,737,536.08/287,269.20
  6. Step 6: Final answer
    x = 218,327.40

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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.