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Finding the Fourth Proportional to 405,579.72, 608,455.25 and 152,854.86

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Solution

The fourth proportional to 405,579.72, 608,455.25 and 152,854.86 is: 229,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,579.72 : 608,455.25 = 152,854.86 : x
  2. Step 2: Convert to fraction form
    405,579.72/608,455.25 = 152,854.86/x
  3. Step 3: Cross multiply
    405,579.72x = 608,455.25 × 152,854.86
  4. Step 4: Simplify right side
    405,579.72x = 93,005,341,290.74
  5. Step 5: Solve for x
    x = 93,005,341,290.74/405,579.72
  6. Step 6: Final answer
    x = 229,314.58

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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.