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Finding the Fourth Proportional to 507,640.91, 760,948.91 and 318,234.31

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Solution

The fourth proportional to 507,640.91, 760,948.91 and 318,234.31 is: 477,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,640.91 : 760,948.91 = 318,234.31 : x
  2. Step 2: Convert to fraction form
    507,640.91/760,948.91 = 318,234.31/x
  3. Step 3: Cross multiply
    507,640.91x = 760,948.91 × 318,234.31
  4. Step 4: Simplify right side
    507,640.91x = 242,160,051,319.10
  5. Step 5: Solve for x
    x = 242,160,051,319.10/507,640.91
  6. Step 6: Final answer
    x = 477,030.21

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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.