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Finding the Fourth Proportional to 340,234.94, 469,520.50 and 187,269.86

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Solution

The fourth proportional to 340,234.94, 469,520.50 and 187,269.86 is: 258,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,234.94 : 469,520.50 = 187,269.86 : x
  2. Step 2: Convert to fraction form
    340,234.94/469,520.50 = 187,269.86/x
  3. Step 3: Cross multiply
    340,234.94x = 469,520.50 × 187,269.86
  4. Step 4: Simplify right side
    340,234.94x = 87,927,038,302.13
  5. Step 5: Solve for x
    x = 87,927,038,302.13/340,234.94
  6. Step 6: Final answer
    x = 258,430.36

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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.