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Finding the Fourth Proportional to 364,890, 546,885.72 and 259,136.40

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Solution

The fourth proportional to 364,890, 546,885.72 and 259,136.40 is: 388,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,890 : 546,885.72 = 259,136.40 : x
  2. Step 2: Convert to fraction form
    364,890/546,885.72 = 259,136.40/x
  3. Step 3: Cross multiply
    364,890x = 546,885.72 × 259,136.40
  4. Step 4: Simplify right side
    364,890x = 141,717,996,692.21
  5. Step 5: Solve for x
    x = 141,717,996,692.21/364,890
  6. Step 6: Final answer
    x = 388,385.53

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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.