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Finding the Fourth Proportional to 428,050.98, 590,341.77 and 266,737.86

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Solution

The fourth proportional to 428,050.98, 590,341.77 and 266,737.86 is: 367,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,050.98 : 590,341.77 = 266,737.86 : x
  2. Step 2: Convert to fraction form
    428,050.98/590,341.77 = 266,737.86/x
  3. Step 3: Cross multiply
    428,050.98x = 590,341.77 × 266,737.86
  4. Step 4: Simplify right side
    428,050.98x = 157,466,500,398.41
  5. Step 5: Solve for x
    x = 157,466,500,398.41/428,050.98
  6. Step 6: Final answer
    x = 367,868.57

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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.