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Finding the Fourth Proportional to 541,643.60, 747,459.03 and 299,920.98

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Solution

The fourth proportional to 541,643.60, 747,459.03 and 299,920.98 is: 413,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,643.60 : 747,459.03 = 299,920.98 : x
  2. Step 2: Convert to fraction form
    541,643.60/747,459.03 = 299,920.98/x
  3. Step 3: Cross multiply
    541,643.60x = 747,459.03 × 299,920.98
  4. Step 4: Simplify right side
    541,643.60x = 224,178,642,401.85
  5. Step 5: Solve for x
    x = 224,178,642,401.85/541,643.60
  6. Step 6: Final answer
    x = 413,885.89

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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.