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Finding the Fourth Proportional to 543,397.62, 814,036.14 and 355,840.50

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Solution

The fourth proportional to 543,397.62, 814,036.14 and 355,840.50 is: 533,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,397.62 : 814,036.14 = 355,840.50 : x
  2. Step 2: Convert to fraction form
    543,397.62/814,036.14 = 355,840.50/x
  3. Step 3: Cross multiply
    543,397.62x = 814,036.14 × 355,840.50
  4. Step 4: Simplify right side
    543,397.62x = 289,667,027,075.67
  5. Step 5: Solve for x
    x = 289,667,027,075.67/543,397.62
  6. Step 6: Final answer
    x = 533,066.43

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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.