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Finding the Fourth Proportional to 510,953.48, 705,081.76 and 296,055.28

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Solution

The fourth proportional to 510,953.48, 705,081.76 and 296,055.28 is: 408,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,953.48 : 705,081.76 = 296,055.28 : x
  2. Step 2: Convert to fraction form
    510,953.48/705,081.76 = 296,055.28/x
  3. Step 3: Cross multiply
    510,953.48x = 705,081.76 × 296,055.28
  4. Step 4: Simplify right side
    510,953.48x = 208,743,177,879.69
  5. Step 5: Solve for x
    x = 208,743,177,879.69/510,953.48
  6. Step 6: Final answer
    x = 408,536.56

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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.