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Finding the Fourth Proportional to 560,721.88, 840,221.38 and 380,573.02

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Solution

The fourth proportional to 560,721.88, 840,221.38 and 380,573.02 is: 570,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,721.88 : 840,221.38 = 380,573.02 : x
  2. Step 2: Convert to fraction form
    560,721.88/840,221.38 = 380,573.02/x
  3. Step 3: Cross multiply
    560,721.88x = 840,221.38 × 380,573.02
  4. Step 4: Simplify right side
    560,721.88x = 319,765,588,055.17
  5. Step 5: Solve for x
    x = 319,765,588,055.17/560,721.88
  6. Step 6: Final answer
    x = 570,274.85

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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.