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Finding the Fourth Proportional to 513,875.80, 770,813.70 and 139,898.20

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Solution

The fourth proportional to 513,875.80, 770,813.70 and 139,898.20 is: 209,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,875.80 : 770,813.70 = 139,898.20 : x
  2. Step 2: Convert to fraction form
    513,875.80/770,813.70 = 139,898.20/x
  3. Step 3: Cross multiply
    513,875.80x = 770,813.70 × 139,898.20
  4. Step 4: Simplify right side
    513,875.80x = 107,835,449,165.34
  5. Step 5: Solve for x
    x = 107,835,449,165.34/513,875.80
  6. Step 6: Final answer
    x = 209,847.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.