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Finding the Fourth Proportional to 509,799.69, 763,573.64 and 462,720.47

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Solution

The fourth proportional to 509,799.69, 763,573.64 and 462,720.47 is: 693,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,799.69 : 763,573.64 = 462,720.47 : x
  2. Step 2: Convert to fraction form
    509,799.69/763,573.64 = 462,720.47/x
  3. Step 3: Cross multiply
    509,799.69x = 763,573.64 × 462,720.47
  4. Step 4: Simplify right side
    509,799.69x = 353,321,147,448.94
  5. Step 5: Solve for x
    x = 353,321,147,448.94/509,799.69
  6. Step 6: Final answer
    x = 693,058.77

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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.