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Finding the Fourth Proportional to 349,064, 523,596 and 86,408

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Solution

The fourth proportional to 349,064, 523,596 and 86,408 is: 129,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,064 : 523,596 = 86,408 : x
  2. Step 2: Convert to fraction form
    349,064/523,596 = 86,408/x
  3. Step 3: Cross multiply
    349,064x = 523,596 × 86,408
  4. Step 4: Simplify right side
    349,064x = 45,242,883,168
  5. Step 5: Solve for x
    x = 45,242,883,168/349,064
  6. Step 6: Final answer
    x = 129,612

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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.