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Finding the Fourth Proportional to 306,434.90, 460,083.06 and 156,782.54

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Solution

The fourth proportional to 306,434.90, 460,083.06 and 156,782.54 is: 235,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,434.90 : 460,083.06 = 156,782.54 : x
  2. Step 2: Convert to fraction form
    306,434.90/460,083.06 = 156,782.54/x
  3. Step 3: Cross multiply
    306,434.90x = 460,083.06 × 156,782.54
  4. Step 4: Simplify right side
    306,434.90x = 72,132,988,457.36
  5. Step 5: Solve for x
    x = 72,132,988,457.36/306,434.90
  6. Step 6: Final answer
    x = 235,394.17

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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.