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Finding the Fourth Proportional to 472,782.89, 652,427.47 and 257,922.90

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Solution

The fourth proportional to 472,782.89, 652,427.47 and 257,922.90 is: 355,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,782.89 : 652,427.47 = 257,922.90 : x
  2. Step 2: Convert to fraction form
    472,782.89/652,427.47 = 257,922.90/x
  3. Step 3: Cross multiply
    472,782.89x = 652,427.47 × 257,922.90
  4. Step 4: Simplify right side
    472,782.89x = 168,275,985,424.47
  5. Step 5: Solve for x
    x = 168,275,985,424.47/472,782.89
  6. Step 6: Final answer
    x = 355,926.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.