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Finding the Fourth Proportional to 306,690.10, 460,128.95 and 157,036.25

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Solution

The fourth proportional to 306,690.10, 460,128.95 and 157,036.25 is: 235,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,690.10 : 460,128.95 = 157,036.25 : x
  2. Step 2: Convert to fraction form
    306,690.10/460,128.95 = 157,036.25/x
  3. Step 3: Cross multiply
    306,690.10x = 460,128.95 × 157,036.25
  4. Step 4: Simplify right side
    306,690.10x = 72,256,921,738.61
  5. Step 5: Solve for x
    x = 72,256,921,738.61/306,690.10
  6. Step 6: Final answer
    x = 235,602.39

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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.