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Finding the Fourth Proportional to 694,521, 958,561.70 and 408,041.01

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Solution

The fourth proportional to 694,521, 958,561.70 and 408,041.01 is: 563,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,521 : 958,561.70 = 408,041.01 : x
  2. Step 2: Convert to fraction form
    694,521/958,561.70 = 408,041.01/x
  3. Step 3: Cross multiply
    694,521x = 958,561.70 × 408,041.01
  4. Step 4: Simplify right side
    694,521x = 391,132,482,175.11
  5. Step 5: Solve for x
    x = 391,132,482,175.11/694,521
  6. Step 6: Final answer
    x = 563,168.69

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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.