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Finding the Fourth Proportional to 287,051.81, 430,295.40 and 137,257.06

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Solution

The fourth proportional to 287,051.81, 430,295.40 and 137,257.06 is: 205,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,051.81 : 430,295.40 = 137,257.06 : x
  2. Step 2: Convert to fraction form
    287,051.81/430,295.40 = 137,257.06/x
  3. Step 3: Cross multiply
    287,051.81x = 430,295.40 × 137,257.06
  4. Step 4: Simplify right side
    287,051.81x = 59,061,081,535.52
  5. Step 5: Solve for x
    x = 59,061,081,535.52/287,051.81
  6. Step 6: Final answer
    x = 205,750.60

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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.