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Finding the Fourth Proportional to 357,781.88, 493,443.24 and 242,871.63

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Solution

The fourth proportional to 357,781.88, 493,443.24 and 242,871.63 is: 334,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,781.88 : 493,443.24 = 242,871.63 : x
  2. Step 2: Convert to fraction form
    357,781.88/493,443.24 = 242,871.63/x
  3. Step 3: Cross multiply
    357,781.88x = 493,443.24 × 242,871.63
  4. Step 4: Simplify right side
    357,781.88x = 119,843,364,011.28
  5. Step 5: Solve for x
    x = 119,843,364,011.28/357,781.88
  6. Step 6: Final answer
    x = 334,962.09

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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.