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Finding the Fourth Proportional to 287,009.33, 430,496.49 and 107,060

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Solution

The fourth proportional to 287,009.33, 430,496.49 and 107,060 is: 160,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,009.33 : 430,496.49 = 107,060 : x
  2. Step 2: Convert to fraction form
    287,009.33/430,496.49 = 107,060/x
  3. Step 3: Cross multiply
    287,009.33x = 430,496.49 × 107,060
  4. Step 4: Simplify right side
    287,009.33x = 46,088,954,219.40
  5. Step 5: Solve for x
    x = 46,088,954,219.40/287,009.33
  6. Step 6: Final answer
    x = 160,583.47

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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.