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Finding the Fourth Proportional to 428,252.94, 590,981.40 and 237,262.50

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Solution

The fourth proportional to 428,252.94, 590,981.40 and 237,262.50 is: 327,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,252.94 : 590,981.40 = 237,262.50 : x
  2. Step 2: Convert to fraction form
    428,252.94/590,981.40 = 237,262.50/x
  3. Step 3: Cross multiply
    428,252.94x = 590,981.40 × 237,262.50
  4. Step 4: Simplify right side
    428,252.94x = 140,217,724,417.50
  5. Step 5: Solve for x
    x = 140,217,724,417.50/428,252.94
  6. Step 6: Final answer
    x = 327,418.01

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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.