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Finding the Fourth Proportional to 420,407.46, 630,706.26 and 139,935.78

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Solution

The fourth proportional to 420,407.46, 630,706.26 and 139,935.78 is: 209,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,407.46 : 630,706.26 = 139,935.78 : x
  2. Step 2: Convert to fraction form
    420,407.46/630,706.26 = 139,935.78/x
  3. Step 3: Cross multiply
    420,407.46x = 630,706.26 × 139,935.78
  4. Step 4: Simplify right side
    420,407.46x = 88,258,372,443.98
  5. Step 5: Solve for x
    x = 88,258,372,443.98/420,407.46
  6. Step 6: Final answer
    x = 209,935.31

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1.5x scale

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.