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Finding the Fourth Proportional to 512,937.48, 707,831.70 and 283,482.91

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Solution

The fourth proportional to 512,937.48, 707,831.70 and 283,482.91 is: 391,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,937.48 : 707,831.70 = 283,482.91 : x
  2. Step 2: Convert to fraction form
    512,937.48/707,831.70 = 283,482.91/x
  3. Step 3: Cross multiply
    512,937.48x = 707,831.70 × 283,482.91
  4. Step 4: Simplify right side
    512,937.48x = 200,658,190,106.25
  5. Step 5: Solve for x
    x = 200,658,190,106.25/512,937.48
  6. Step 6: Final answer
    x = 391,194.24

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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.