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Finding the Fourth Proportional to 460,014.80, 689,817.40 and 210,773.20

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Solution

The fourth proportional to 460,014.80, 689,817.40 and 210,773.20 is: 316,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,014.80 : 689,817.40 = 210,773.20 : x
  2. Step 2: Convert to fraction form
    460,014.80/689,817.40 = 210,773.20/x
  3. Step 3: Cross multiply
    460,014.80x = 689,817.40 × 210,773.20
  4. Step 4: Simplify right side
    460,014.80x = 145,395,020,813.68
  5. Step 5: Solve for x
    x = 145,395,020,813.68/460,014.80
  6. Step 6: Final answer
    x = 316,065.96

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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.