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Finding the Fourth Proportional to 707,400.71, 976,459.01 and 420,914.64

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Solution

The fourth proportional to 707,400.71, 976,459.01 and 420,914.64 is: 581,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,400.71 : 976,459.01 = 420,914.64 : x
  2. Step 2: Convert to fraction form
    707,400.71/976,459.01 = 420,914.64/x
  3. Step 3: Cross multiply
    707,400.71x = 976,459.01 × 420,914.64
  4. Step 4: Simplify right side
    707,400.71x = 411,005,894,226.05
  5. Step 5: Solve for x
    x = 411,005,894,226.05/707,400.71
  6. Step 6: Final answer
    x = 581,008.60

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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.