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Finding the Fourth Proportional to 497,670, 686,784.60 and 318,822

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Solution

The fourth proportional to 497,670, 686,784.60 and 318,822 is: 439,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,670 : 686,784.60 = 318,822 : x
  2. Step 2: Convert to fraction form
    497,670/686,784.60 = 318,822/x
  3. Step 3: Cross multiply
    497,670x = 686,784.60 × 318,822
  4. Step 4: Simplify right side
    497,670x = 218,962,039,741.20
  5. Step 5: Solve for x
    x = 218,962,039,741.20/497,670
  6. Step 6: Final answer
    x = 439,974.36

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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.