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Finding the Fourth Proportional to 296,897.36, 445,499.16 and 139,141.84

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Solution

The fourth proportional to 296,897.36, 445,499.16 and 139,141.84 is: 208,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,897.36 : 445,499.16 = 139,141.84 : x
  2. Step 2: Convert to fraction form
    296,897.36/445,499.16 = 139,141.84/x
  3. Step 3: Cross multiply
    296,897.36x = 445,499.16 × 139,141.84
  4. Step 4: Simplify right side
    296,897.36x = 61,987,572,840.85
  5. Step 5: Solve for x
    x = 61,987,572,840.85/296,897.36
  6. Step 6: Final answer
    x = 208,784.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.