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Finding the Fourth Proportional to 418,294.17, 577,249.47 and 227,307.51

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Solution

The fourth proportional to 418,294.17, 577,249.47 and 227,307.51 is: 313,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,294.17 : 577,249.47 = 227,307.51 : x
  2. Step 2: Convert to fraction form
    418,294.17/577,249.47 = 227,307.51/x
  3. Step 3: Cross multiply
    418,294.17x = 577,249.47 × 227,307.51
  4. Step 4: Simplify right side
    418,294.17x = 131,213,139,674.52
  5. Step 5: Solve for x
    x = 131,213,139,674.52/418,294.17
  6. Step 6: Final answer
    x = 313,686.27

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1.5x scale

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.