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Finding the Fourth Proportional to 437,644.80, 656,726.40 and 319,017.60

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Solution

The fourth proportional to 437,644.80, 656,726.40 and 319,017.60 is: 478,715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,644.80 : 656,726.40 = 319,017.60 : x
  2. Step 2: Convert to fraction form
    437,644.80/656,726.40 = 319,017.60/x
  3. Step 3: Cross multiply
    437,644.80x = 656,726.40 × 319,017.60
  4. Step 4: Simplify right side
    437,644.80x = 209,507,279,984.64
  5. Step 5: Solve for x
    x = 209,507,279,984.64/437,644.80
  6. Step 6: Final answer
    x = 478,715.34

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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.