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Finding the Fourth Proportional to 287,285.40, 430,928.28 and 137,490.48

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Solution

The fourth proportional to 287,285.40, 430,928.28 and 137,490.48 is: 206,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,285.40 : 430,928.28 = 137,490.48 : x
  2. Step 2: Convert to fraction form
    287,285.40/430,928.28 = 137,490.48/x
  3. Step 3: Cross multiply
    287,285.40x = 430,928.28 × 137,490.48
  4. Step 4: Simplify right side
    287,285.40x = 59,248,536,062.77
  5. Step 5: Solve for x
    x = 59,248,536,062.77/287,285.40
  6. Step 6: Final answer
    x = 206,235.81

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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.