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Finding the Fourth Proportional to 318,398.94, 477,496.98 and 105,127.20

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Solution

The fourth proportional to 318,398.94, 477,496.98 and 105,127.20 is: 157,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,398.94 : 477,496.98 = 105,127.20 : x
  2. Step 2: Convert to fraction form
    318,398.94/477,496.98 = 105,127.20/x
  3. Step 3: Cross multiply
    318,398.94x = 477,496.98 × 105,127.20
  4. Step 4: Simplify right side
    318,398.94x = 50,197,920,515.86
  5. Step 5: Solve for x
    x = 50,197,920,515.86/318,398.94
  6. Step 6: Final answer
    x = 157,657.31

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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.