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Finding the Fourth Proportional to 507,641.42, 760,949.66 and 318,234.81

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Solution

The fourth proportional to 507,641.42, 760,949.66 and 318,234.81 is: 477,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,641.42 : 760,949.66 = 318,234.81 : x
  2. Step 2: Convert to fraction form
    507,641.42/760,949.66 = 318,234.81/x
  3. Step 3: Cross multiply
    507,641.42x = 760,949.66 × 318,234.81
  4. Step 4: Simplify right side
    507,641.42x = 242,160,668,878.49
  5. Step 5: Solve for x
    x = 242,160,668,878.49/507,641.42
  6. Step 6: Final answer
    x = 477,030.95

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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.