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Finding the Fourth Proportional to 509,200.52, 762,637.94 and 243,148.32

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Solution

The fourth proportional to 509,200.52, 762,637.94 and 243,148.32 is: 364,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,200.52 : 762,637.94 = 243,148.32 : x
  2. Step 2: Convert to fraction form
    509,200.52/762,637.94 = 243,148.32/x
  3. Step 3: Cross multiply
    509,200.52x = 762,637.94 × 243,148.32
  4. Step 4: Simplify right side
    509,200.52x = 185,434,133,879.26
  5. Step 5: Solve for x
    x = 185,434,133,879.26/509,200.52
  6. Step 6: Final answer
    x = 364,167.21

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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.