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Finding the Fourth Proportional to 405,127.46, 607,691.46 and 105,607.28

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Solution

The fourth proportional to 405,127.46, 607,691.46 and 105,607.28 is: 158,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,127.46 : 607,691.46 = 105,607.28 : x
  2. Step 2: Convert to fraction form
    405,127.46/607,691.46 = 105,607.28/x
  3. Step 3: Cross multiply
    405,127.46x = 607,691.46 × 105,607.28
  4. Step 4: Simplify right side
    405,127.46x = 64,176,639,131.37
  5. Step 5: Solve for x
    x = 64,176,639,131.37/405,127.46
  6. Step 6: Final answer
    x = 158,410.98

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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.