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Finding the Fourth Proportional to 209,649.63, 314,470.80 and 51,878.10

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Solution

The fourth proportional to 209,649.63, 314,470.80 and 51,878.10 is: 77,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,649.63 : 314,470.80 = 51,878.10 : x
  2. Step 2: Convert to fraction form
    209,649.63/314,470.80 = 51,878.10/x
  3. Step 3: Cross multiply
    209,649.63x = 314,470.80 × 51,878.10
  4. Step 4: Simplify right side
    209,649.63x = 16,314,147,609.48
  5. Step 5: Solve for x
    x = 16,314,147,609.48/209,649.63
  6. Step 6: Final answer
    x = 77,816.25

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1.5x scale

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.