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Finding the Fourth Proportional to 707,705.05, 976,713.65 and 421,226.05

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Solution

The fourth proportional to 707,705.05, 976,713.65 and 421,226.05 is: 581,339.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,705.05 : 976,713.65 = 421,226.05 : x
  2. Step 2: Convert to fraction form
    707,705.05/976,713.65 = 421,226.05/x
  3. Step 3: Cross multiply
    707,705.05x = 976,713.65 × 421,226.05
  4. Step 4: Simplify right side
    707,705.05x = 411,417,232,770.58
  5. Step 5: Solve for x
    x = 411,417,232,770.58/707,705.05
  6. Step 6: Final answer
    x = 581,339.97

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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.