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Finding the Fourth Proportional to 430,463.01, 645,266.06 and 205,560.53

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Solution

The fourth proportional to 430,463.01, 645,266.06 and 205,560.53 is: 308,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,463.01 : 645,266.06 = 205,560.53 : x
  2. Step 2: Convert to fraction form
    430,463.01/645,266.06 = 205,560.53/x
  3. Step 3: Cross multiply
    430,463.01x = 645,266.06 × 205,560.53
  4. Step 4: Simplify right side
    430,463.01x = 132,641,233,284.61
  5. Step 5: Solve for x
    x = 132,641,233,284.61/430,463.01
  6. Step 6: Final answer
    x = 308,136.19

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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.