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Finding the Fourth Proportional to 584,070, 806,016.60 and 315,798

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Solution

The fourth proportional to 584,070, 806,016.60 and 315,798 is: 435,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,070 : 806,016.60 = 315,798 : x
  2. Step 2: Convert to fraction form
    584,070/806,016.60 = 315,798/x
  3. Step 3: Cross multiply
    584,070x = 806,016.60 × 315,798
  4. Step 4: Simplify right side
    584,070x = 254,538,430,246.80
  5. Step 5: Solve for x
    x = 254,538,430,246.80/584,070
  6. Step 6: Final answer
    x = 435,801.24

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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.