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Finding the Fourth Proportional to 288,717.40, 432,845.70 and 122,368.60

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Solution

The fourth proportional to 288,717.40, 432,845.70 and 122,368.60 is: 183,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,717.40 : 432,845.70 = 122,368.60 : x
  2. Step 2: Convert to fraction form
    288,717.40/432,845.70 = 122,368.60/x
  3. Step 3: Cross multiply
    288,717.40x = 432,845.70 × 122,368.60
  4. Step 4: Simplify right side
    288,717.40x = 52,966,722,325.02
  5. Step 5: Solve for x
    x = 52,966,722,325.02/288,717.40
  6. Step 6: Final answer
    x = 183,455.25

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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.