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Finding the Fourth Proportional to 405,083.08, 607,624.82 and 105,562.90

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Solution

The fourth proportional to 405,083.08, 607,624.82 and 105,562.90 is: 158,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,083.08 : 607,624.82 = 105,562.90 : x
  2. Step 2: Convert to fraction form
    405,083.08/607,624.82 = 105,562.90/x
  3. Step 3: Cross multiply
    405,083.08x = 607,624.82 × 105,562.90
  4. Step 4: Simplify right side
    405,083.08x = 64,142,638,111.18
  5. Step 5: Solve for x
    x = 64,142,638,111.18/405,083.08
  6. Step 6: Final answer
    x = 158,344.40

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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.