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Finding the Fourth Proportional to 509,186.47, 762,616.24 and 243,133.33

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Solution

The fourth proportional to 509,186.47, 762,616.24 and 243,133.33 is: 364,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,186.47 : 762,616.24 = 243,133.33 : x
  2. Step 2: Convert to fraction form
    509,186.47/762,616.24 = 243,133.33/x
  3. Step 3: Cross multiply
    509,186.47x = 762,616.24 × 243,133.33
  4. Step 4: Simplify right side
    509,186.47x = 185,417,425,943.28
  5. Step 5: Solve for x
    x = 185,417,425,943.28/509,186.47
  6. Step 6: Final answer
    x = 364,144.45

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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.