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Finding the Fourth Proportional to 287,050.81, 430,293.90 and 137,256.06

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Solution

The fourth proportional to 287,050.81, 430,293.90 and 137,256.06 is: 205,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,050.81 : 430,293.90 = 137,256.06 : x
  2. Step 2: Convert to fraction form
    287,050.81/430,293.90 = 137,256.06/x
  3. Step 3: Cross multiply
    287,050.81x = 430,293.90 × 137,256.06
  4. Step 4: Simplify right side
    287,050.81x = 59,060,446,892.27
  5. Step 5: Solve for x
    x = 59,060,446,892.27/287,050.81
  6. Step 6: Final answer
    x = 205,749.10

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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.