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Finding the Fourth Proportional to 307,258, 460,887.27 and 85,642

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Solution

The fourth proportional to 307,258, 460,887.27 and 85,642 is: 128,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,258 : 460,887.27 = 85,642 : x
  2. Step 2: Convert to fraction form
    307,258/460,887.27 = 85,642/x
  3. Step 3: Cross multiply
    307,258x = 460,887.27 × 85,642
  4. Step 4: Simplify right side
    307,258x = 39,471,307,577.34
  5. Step 5: Solve for x
    x = 39,471,307,577.34/307,258
  6. Step 6: Final answer
    x = 128,463.08

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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.