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Finding the Fourth Proportional to 510,831.65, 704,897.21 and 284,498.21

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Solution

The fourth proportional to 510,831.65, 704,897.21 and 284,498.21 is: 392,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,831.65 : 704,897.21 = 284,498.21 : x
  2. Step 2: Convert to fraction form
    510,831.65/704,897.21 = 284,498.21/x
  3. Step 3: Cross multiply
    510,831.65x = 704,897.21 × 284,498.21
  4. Step 4: Simplify right side
    510,831.65x = 200,541,990,954.51
  5. Step 5: Solve for x
    x = 200,541,990,954.51/510,831.65
  6. Step 6: Final answer
    x = 392,579.42

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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.