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Finding the Fourth Proportional to 287,428.32, 430,954.74 and 137,663.82

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Solution

The fourth proportional to 287,428.32, 430,954.74 and 137,663.82 is: 206,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,428.32 : 430,954.74 = 137,663.82 : x
  2. Step 2: Convert to fraction form
    287,428.32/430,954.74 = 137,663.82/x
  3. Step 3: Cross multiply
    287,428.32x = 430,954.74 × 137,663.82
  4. Step 4: Simplify right side
    287,428.32x = 59,326,875,755.51
  5. Step 5: Solve for x
    x = 59,326,875,755.51/287,428.32
  6. Step 6: Final answer
    x = 206,405.81

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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.