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Finding the Fourth Proportional to 291,292.85, 401,294.95 and 277,840.06

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Solution

The fourth proportional to 291,292.85, 401,294.95 and 277,840.06 is: 382,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,292.85 : 401,294.95 = 277,840.06 : x
  2. Step 2: Convert to fraction form
    291,292.85/401,294.95 = 277,840.06/x
  3. Step 3: Cross multiply
    291,292.85x = 401,294.95 × 277,840.06
  4. Step 4: Simplify right side
    291,292.85x = 111,495,811,287.86
  5. Step 5: Solve for x
    x = 111,495,811,287.86/291,292.85
  6. Step 6: Final answer
    x = 382,761.92

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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.