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Finding the Fourth Proportional to 538,125, 742,612.50 and 311,901.72

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Solution

The fourth proportional to 538,125, 742,612.50 and 311,901.72 is: 430,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,125 : 742,612.50 = 311,901.72 : x
  2. Step 2: Convert to fraction form
    538,125/742,612.50 = 311,901.72/x
  3. Step 3: Cross multiply
    538,125x = 742,612.50 × 311,901.72
  4. Step 4: Simplify right side
    538,125x = 231,622,116,043.50
  5. Step 5: Solve for x
    x = 231,622,116,043.50/538,125
  6. Step 6: Final answer
    x = 430,424.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.