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Finding the Fourth Proportional to 446,980.12, 670,027.32 and 209,898.40

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Solution

The fourth proportional to 446,980.12, 670,027.32 and 209,898.40 is: 314,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,980.12 : 670,027.32 = 209,898.40 : x
  2. Step 2: Convert to fraction form
    446,980.12/670,027.32 = 209,898.40/x
  3. Step 3: Cross multiply
    446,980.12x = 670,027.32 × 209,898.40
  4. Step 4: Simplify right side
    446,980.12x = 140,637,662,424.29
  5. Step 5: Solve for x
    x = 140,637,662,424.29/446,980.12
  6. Step 6: Final answer
    x = 314,639.64

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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.