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Finding the Fourth Proportional to 722,603.12, 997,189.08 and 416,678

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Solution

The fourth proportional to 722,603.12, 997,189.08 and 416,678 is: 575,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,603.12 : 997,189.08 = 416,678 : x
  2. Step 2: Convert to fraction form
    722,603.12/997,189.08 = 416,678/x
  3. Step 3: Cross multiply
    722,603.12x = 997,189.08 × 416,678
  4. Step 4: Simplify right side
    722,603.12x = 415,506,751,476.24
  5. Step 5: Solve for x
    x = 415,506,751,476.24/722,603.12
  6. Step 6: Final answer
    x = 575,013.78

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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.