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Finding the Fourth Proportional to 510,959.16, 705,069.72 and 296,166.60

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Solution

The fourth proportional to 510,959.16, 705,069.72 and 296,166.60 is: 408,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,959.16 : 705,069.72 = 296,166.60 : x
  2. Step 2: Convert to fraction form
    510,959.16/705,069.72 = 296,166.60/x
  3. Step 3: Cross multiply
    510,959.16x = 705,069.72 × 296,166.60
  4. Step 4: Simplify right side
    510,959.16x = 208,818,101,735.35
  5. Step 5: Solve for x
    x = 208,818,101,735.35/510,959.16
  6. Step 6: Final answer
    x = 408,678.65

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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.