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Finding the Fourth Proportional to 287,042.40, 430,563.60 and 100,010.16

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Solution

The fourth proportional to 287,042.40, 430,563.60 and 100,010.16 is: 150,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,042.40 : 430,563.60 = 100,010.16 : x
  2. Step 2: Convert to fraction form
    287,042.40/430,563.60 = 100,010.16/x
  3. Step 3: Cross multiply
    287,042.40x = 430,563.60 × 100,010.16
  4. Step 4: Simplify right side
    287,042.40x = 43,060,734,526.18
  5. Step 5: Solve for x
    x = 43,060,734,526.18/287,042.40
  6. Step 6: Final answer
    x = 150,015.24

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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.