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Finding the Fourth Proportional to 523,321.70, 785,904.15 and 405,280.10

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Solution

The fourth proportional to 523,321.70, 785,904.15 and 405,280.10 is: 608,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,321.70 : 785,904.15 = 405,280.10 : x
  2. Step 2: Convert to fraction form
    523,321.70/785,904.15 = 405,280.10/x
  3. Step 3: Cross multiply
    523,321.70x = 785,904.15 × 405,280.10
  4. Step 4: Simplify right side
    523,321.70x = 318,511,312,502.42
  5. Step 5: Solve for x
    x = 318,511,312,502.42/523,321.70
  6. Step 6: Final answer
    x = 608,633.87

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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.