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Finding the Fourth Proportional to 420,728.85, 630,718.61 and 154,427.58

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Solution

The fourth proportional to 420,728.85, 630,718.61 and 154,427.58 is: 231,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,728.85 : 630,718.61 = 154,427.58 : x
  2. Step 2: Convert to fraction form
    420,728.85/630,718.61 = 154,427.58/x
  3. Step 3: Cross multiply
    420,728.85x = 630,718.61 × 154,427.58
  4. Step 4: Simplify right side
    420,728.85x = 97,400,347,831.13
  5. Step 5: Solve for x
    x = 97,400,347,831.13/420,728.85
  6. Step 6: Final answer
    x = 231,503.85

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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.