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Finding the Fourth Proportional to 474,128.16, 709,442.62 and 284,703.88

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Solution

The fourth proportional to 474,128.16, 709,442.62 and 284,703.88 is: 426,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,128.16 : 709,442.62 = 284,703.88 : x
  2. Step 2: Convert to fraction form
    474,128.16/709,442.62 = 284,703.88/x
  3. Step 3: Cross multiply
    474,128.16x = 709,442.62 × 284,703.88
  4. Step 4: Simplify right side
    474,128.16x = 201,981,066,551.37
  5. Step 5: Solve for x
    x = 201,981,066,551.37/474,128.16
  6. Step 6: Final answer
    x = 426,005.21

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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.