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Finding the Fourth Proportional to 578,142.94, 797,310.05 and 496,445.53

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Solution

The fourth proportional to 578,142.94, 797,310.05 and 496,445.53 is: 684,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,142.94 : 797,310.05 = 496,445.53 : x
  2. Step 2: Convert to fraction form
    578,142.94/797,310.05 = 496,445.53/x
  3. Step 3: Cross multiply
    578,142.94x = 797,310.05 × 496,445.53
  4. Step 4: Simplify right side
    578,142.94x = 395,821,006,360.03
  5. Step 5: Solve for x
    x = 395,821,006,360.03/578,142.94
  6. Step 6: Final answer
    x = 684,642.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.