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Finding the Fourth Proportional to 428,047.98, 590,337.60 and 266,734.86

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Solution

The fourth proportional to 428,047.98, 590,337.60 and 266,734.86 is: 367,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,047.98 : 590,337.60 = 266,734.86 : x
  2. Step 2: Convert to fraction form
    428,047.98/590,337.60 = 266,734.86/x
  3. Step 3: Cross multiply
    428,047.98x = 590,337.60 × 266,734.86
  4. Step 4: Simplify right side
    428,047.98x = 157,463,617,088.74
  5. Step 5: Solve for x
    x = 157,463,617,088.74/428,047.98
  6. Step 6: Final answer
    x = 367,864.41

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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.