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Finding the Fourth Proportional to 420,840.54, 631,263.21 and 140,356.98

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Solution

The fourth proportional to 420,840.54, 631,263.21 and 140,356.98 is: 210,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,840.54 : 631,263.21 = 140,356.98 : x
  2. Step 2: Convert to fraction form
    420,840.54/631,263.21 = 140,356.98/x
  3. Step 3: Cross multiply
    420,840.54x = 631,263.21 × 140,356.98
  4. Step 4: Simplify right side
    420,840.54x = 88,602,197,740.71
  5. Step 5: Solve for x
    x = 88,602,197,740.71/420,840.54
  6. Step 6: Final answer
    x = 210,536.27

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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.