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Finding the Fourth Proportional to 375,130.16, 517,679.60 and 205,364.28

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Solution

The fourth proportional to 375,130.16, 517,679.60 and 205,364.28 is: 283,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,130.16 : 517,679.60 = 205,364.28 : x
  2. Step 2: Convert to fraction form
    375,130.16/517,679.60 = 205,364.28/x
  3. Step 3: Cross multiply
    375,130.16x = 517,679.60 × 205,364.28
  4. Step 4: Simplify right side
    375,130.16x = 106,312,898,324.69
  5. Step 5: Solve for x
    x = 106,312,898,324.69/375,130.16
  6. Step 6: Final answer
    x = 283,402.70

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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.