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Finding the Fourth Proportional to 705,045.97, 973,215 and 418,565.37

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Solution

The fourth proportional to 705,045.97, 973,215 and 418,565.37 is: 577,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,045.97 : 973,215 = 418,565.37 : x
  2. Step 2: Convert to fraction form
    705,045.97/973,215 = 418,565.37/x
  3. Step 3: Cross multiply
    705,045.97x = 973,215 × 418,565.37
  4. Step 4: Simplify right side
    705,045.97x = 407,354,100,214.11
  5. Step 5: Solve for x
    x = 407,354,100,214.11/705,045.97
  6. Step 6: Final answer
    x = 577,769.56

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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.