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Finding the Fourth Proportional to 512,301.84, 707,018.80 and 282,881.90

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Solution

The fourth proportional to 512,301.84, 707,018.80 and 282,881.90 is: 390,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,301.84 : 707,018.80 = 282,881.90 : x
  2. Step 2: Convert to fraction form
    512,301.84/707,018.80 = 282,881.90/x
  3. Step 3: Cross multiply
    512,301.84x = 707,018.80 × 282,881.90
  4. Step 4: Simplify right side
    512,301.84x = 200,002,821,479.72
  5. Step 5: Solve for x
    x = 200,002,821,479.72/512,301.84
  6. Step 6: Final answer
    x = 390,400.36

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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.