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Finding the Fourth Proportional to 405,272.55, 607,909.31 and 105,752.91

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Solution

The fourth proportional to 405,272.55, 607,909.31 and 105,752.91 is: 158,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,272.55 : 607,909.31 = 105,752.91 : x
  2. Step 2: Convert to fraction form
    405,272.55/607,909.31 = 105,752.91/x
  3. Step 3: Cross multiply
    405,272.55x = 607,909.31 × 105,752.91
  4. Step 4: Simplify right side
    405,272.55x = 64,288,178,019.83
  5. Step 5: Solve for x
    x = 64,288,178,019.83/405,272.55
  6. Step 6: Final answer
    x = 158,629.49

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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.