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Finding the Fourth Proportional to 447,265.84, 671,209.80 and 289,102

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Solution

The fourth proportional to 447,265.84, 671,209.80 and 289,102 is: 433,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,265.84 : 671,209.80 = 289,102 : x
  2. Step 2: Convert to fraction form
    447,265.84/671,209.80 = 289,102/x
  3. Step 3: Cross multiply
    447,265.84x = 671,209.80 × 289,102
  4. Step 4: Simplify right side
    447,265.84x = 194,048,095,599.60
  5. Step 5: Solve for x
    x = 194,048,095,599.60/447,265.84
  6. Step 6: Final answer
    x = 433,854.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.