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Finding the Fourth Proportional to 243,053.20, 364,579.80 and 209,810.80

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Solution

The fourth proportional to 243,053.20, 364,579.80 and 209,810.80 is: 314,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,053.20 : 364,579.80 = 209,810.80 : x
  2. Step 2: Convert to fraction form
    243,053.20/364,579.80 = 209,810.80/x
  3. Step 3: Cross multiply
    243,053.20x = 364,579.80 × 209,810.80
  4. Step 4: Simplify right side
    243,053.20x = 76,492,779,501.84
  5. Step 5: Solve for x
    x = 76,492,779,501.84/243,053.20
  6. Step 6: Final answer
    x = 314,716.20

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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.