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Finding the Fourth Proportional to 296,457.84, 409,109.96 and 160,490.80

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Solution

The fourth proportional to 296,457.84, 409,109.96 and 160,490.80 is: 221,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,457.84 : 409,109.96 = 160,490.80 : x
  2. Step 2: Convert to fraction form
    296,457.84/409,109.96 = 160,490.80/x
  3. Step 3: Cross multiply
    296,457.84x = 409,109.96 × 160,490.80
  4. Step 4: Simplify right side
    296,457.84x = 65,658,384,778.22
  5. Step 5: Solve for x
    x = 65,658,384,778.22/296,457.84
  6. Step 6: Final answer
    x = 221,476.30

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1.5x scale

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.