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Finding the Fourth Proportional to 340,744.66, 510,154.71 and 180,457

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Solution

The fourth proportional to 340,744.66, 510,154.71 and 180,457 is: 270,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,744.66 : 510,154.71 = 180,457 : x
  2. Step 2: Convert to fraction form
    340,744.66/510,154.71 = 180,457/x
  3. Step 3: Cross multiply
    340,744.66x = 510,154.71 × 180,457
  4. Step 4: Simplify right side
    340,744.66x = 92,060,988,502.47
  5. Step 5: Solve for x
    x = 92,060,988,502.47/340,744.66
  6. Step 6: Final answer
    x = 270,175.88

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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.