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Finding the Fourth Proportional to 507,755.42, 760,698.95 and 318,180.45

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Solution

The fourth proportional to 507,755.42, 760,698.95 and 318,180.45 is: 476,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,755.42 : 760,698.95 = 318,180.45 : x
  2. Step 2: Convert to fraction form
    507,755.42/760,698.95 = 318,180.45/x
  3. Step 3: Cross multiply
    507,755.42x = 760,698.95 × 318,180.45
  4. Step 4: Simplify right side
    507,755.42x = 242,039,535,487.25
  5. Step 5: Solve for x
    x = 242,039,535,487.25/507,755.42
  6. Step 6: Final answer
    x = 476,685.28

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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.