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Finding the Fourth Proportional to 405,311.76, 607,980 and 139,068.56

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Solution

The fourth proportional to 405,311.76, 607,980 and 139,068.56 is: 208,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,311.76 : 607,980 = 139,068.56 : x
  2. Step 2: Convert to fraction form
    405,311.76/607,980 = 139,068.56/x
  3. Step 3: Cross multiply
    405,311.76x = 607,980 × 139,068.56
  4. Step 4: Simplify right side
    405,311.76x = 84,550,903,108.80
  5. Step 5: Solve for x
    x = 84,550,903,108.80/405,311.76
  6. Step 6: Final answer
    x = 208,607.08

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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.