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Finding the Fourth Proportional to 371,909.80, 513,482.68 and 285,715.26

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Solution

The fourth proportional to 371,909.80, 513,482.68 and 285,715.26 is: 394,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,909.80 : 513,482.68 = 285,715.26 : x
  2. Step 2: Convert to fraction form
    371,909.80/513,482.68 = 285,715.26/x
  3. Step 3: Cross multiply
    371,909.80x = 513,482.68 × 285,715.26
  4. Step 4: Simplify right side
    371,909.80x = 146,709,837,421.70
  5. Step 5: Solve for x
    x = 146,709,837,421.70/371,909.80
  6. Step 6: Final answer
    x = 394,476.93

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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.