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Finding the Fourth Proportional to 418,718.17, 577,814.47 and 227,731.51

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Solution

The fourth proportional to 418,718.17, 577,814.47 and 227,731.51 is: 314,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,718.17 : 577,814.47 = 227,731.51 : x
  2. Step 2: Convert to fraction form
    418,718.17/577,814.47 = 227,731.51/x
  3. Step 3: Cross multiply
    418,718.17x = 577,814.47 × 227,731.51
  4. Step 4: Simplify right side
    418,718.17x = 131,586,561,752.95
  5. Step 5: Solve for x
    x = 131,586,561,752.95/418,718.17
  6. Step 6: Final answer
    x = 314,260.45

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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.