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Finding the Fourth Proportional to 472,720.78, 652,353.60 and 257,860.84

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Solution

The fourth proportional to 472,720.78, 652,353.60 and 257,860.84 is: 355,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,720.78 : 652,353.60 = 257,860.84 : x
  2. Step 2: Convert to fraction form
    472,720.78/652,353.60 = 257,860.84/x
  3. Step 3: Cross multiply
    472,720.78x = 652,353.60 × 257,860.84
  4. Step 4: Simplify right side
    472,720.78x = 168,216,447,273.02
  5. Step 5: Solve for x
    x = 168,216,447,273.02/472,720.78
  6. Step 6: Final answer
    x = 355,847.37

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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.