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Finding the Fourth Proportional to 423,617, 584,722.68 and 272,714

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Solution

The fourth proportional to 423,617, 584,722.68 and 272,714 is: 376,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,617 : 584,722.68 = 272,714 : x
  2. Step 2: Convert to fraction form
    423,617/584,722.68 = 272,714/x
  3. Step 3: Cross multiply
    423,617x = 584,722.68 × 272,714
  4. Step 4: Simplify right side
    423,617x = 159,462,060,953.52
  5. Step 5: Solve for x
    x = 159,462,060,953.52/423,617
  6. Step 6: Final answer
    x = 376,429.80

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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.