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Finding the Fourth Proportional to 418,717.17, 577,813.10 and 227,730.51

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Solution

The fourth proportional to 418,717.17, 577,813.10 and 227,730.51 is: 314,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,717.17 : 577,813.10 = 227,730.51 : x
  2. Step 2: Convert to fraction form
    418,717.17/577,813.10 = 227,730.51/x
  3. Step 3: Cross multiply
    418,717.17x = 577,813.10 × 227,730.51
  4. Step 4: Simplify right side
    418,717.17x = 131,585,670,809.03
  5. Step 5: Solve for x
    x = 131,585,670,809.03/418,717.17
  6. Step 6: Final answer
    x = 314,259.08

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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.