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Finding the Fourth Proportional to 584,168, 806,151.88 and 315,896

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Solution

The fourth proportional to 584,168, 806,151.88 and 315,896 is: 435,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,168 : 806,151.88 = 315,896 : x
  2. Step 2: Convert to fraction form
    584,168/806,151.88 = 315,896/x
  3. Step 3: Cross multiply
    584,168x = 806,151.88 × 315,896
  4. Step 4: Simplify right side
    584,168x = 254,660,154,284.48
  5. Step 5: Solve for x
    x = 254,660,154,284.48/584,168
  6. Step 6: Final answer
    x = 435,936.50

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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.