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Finding the Fourth Proportional to 578,563.96, 798,357.48 and 320,434.14

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Solution

The fourth proportional to 578,563.96, 798,357.48 and 320,434.14 is: 442,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,563.96 : 798,357.48 = 320,434.14 : x
  2. Step 2: Convert to fraction form
    578,563.96/798,357.48 = 320,434.14/x
  3. Step 3: Cross multiply
    578,563.96x = 798,357.48 × 320,434.14
  4. Step 4: Simplify right side
    578,563.96x = 255,820,989,817.82
  5. Step 5: Solve for x
    x = 255,820,989,817.82/578,563.96
  6. Step 6: Final answer
    x = 442,165.45

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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.