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Finding the Fourth Proportional to 550,998, 760,316.40 and 309,225.12

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Solution

The fourth proportional to 550,998, 760,316.40 and 309,225.12 is: 426,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,998 : 760,316.40 = 309,225.12 : x
  2. Step 2: Convert to fraction form
    550,998/760,316.40 = 309,225.12/x
  3. Step 3: Cross multiply
    550,998x = 760,316.40 × 309,225.12
  4. Step 4: Simplify right side
    550,998x = 235,108,930,027.97
  5. Step 5: Solve for x
    x = 235,108,930,027.97/550,998
  6. Step 6: Final answer
    x = 426,696.52

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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.