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Finding the Fourth Proportional to 287,039.10, 430,292.42 and 127,029.98

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Solution

The fourth proportional to 287,039.10, 430,292.42 and 127,029.98 is: 190,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,039.10 : 430,292.42 = 127,029.98 : x
  2. Step 2: Convert to fraction form
    287,039.10/430,292.42 = 127,029.98/x
  3. Step 3: Cross multiply
    287,039.10x = 430,292.42 × 127,029.98
  4. Step 4: Simplify right side
    287,039.10x = 54,660,038,423.70
  5. Step 5: Solve for x
    x = 54,660,038,423.70/287,039.10
  6. Step 6: Final answer
    x = 190,427.15

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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.