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Finding the Fourth Proportional to 475,784, 713,952.48 and 213,128

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Solution

The fourth proportional to 475,784, 713,952.48 and 213,128 is: 319,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,784 : 713,952.48 = 213,128 : x
  2. Step 2: Convert to fraction form
    475,784/713,952.48 = 213,128/x
  3. Step 3: Cross multiply
    475,784x = 713,952.48 × 213,128
  4. Step 4: Simplify right side
    475,784x = 152,163,264,157.44
  5. Step 5: Solve for x
    x = 152,163,264,157.44/475,784
  6. Step 6: Final answer
    x = 319,815.85

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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.