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Finding the Fourth Proportional to 307,257, 460,885.77 and 85,641

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Solution

The fourth proportional to 307,257, 460,885.77 and 85,641 is: 128,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,257 : 460,885.77 = 85,641 : x
  2. Step 2: Convert to fraction form
    307,257/460,885.77 = 85,641/x
  3. Step 3: Cross multiply
    307,257x = 460,885.77 × 85,641
  4. Step 4: Simplify right side
    307,257x = 39,470,718,228.57
  5. Step 5: Solve for x
    x = 39,470,718,228.57/307,257
  6. Step 6: Final answer
    x = 128,461.58

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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.