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Finding the Fourth Proportional to 523,506.88, 785,924.75 and 445,119.33

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Solution

The fourth proportional to 523,506.88, 785,924.75 and 445,119.33 is: 668,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,506.88 : 785,924.75 = 445,119.33 : x
  2. Step 2: Convert to fraction form
    523,506.88/785,924.75 = 445,119.33/x
  3. Step 3: Cross multiply
    523,506.88x = 785,924.75 × 445,119.33
  4. Step 4: Simplify right side
    523,506.88x = 349,830,291,995.20
  5. Step 5: Solve for x
    x = 349,830,291,995.20/523,506.88
  6. Step 6: Final answer
    x = 668,243.93

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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.