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Finding the Fourth Proportional to 560,748.14, 840,260.76 and 380,599.28

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Solution

The fourth proportional to 560,748.14, 840,260.76 and 380,599.28 is: 570,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,748.14 : 840,260.76 = 380,599.28 : x
  2. Step 2: Convert to fraction form
    560,748.14/840,260.76 = 380,599.28/x
  3. Step 3: Cross multiply
    560,748.14x = 840,260.76 × 380,599.28
  4. Step 4: Simplify right side
    560,748.14x = 319,802,640,268.25
  5. Step 5: Solve for x
    x = 319,802,640,268.25/560,748.14
  6. Step 6: Final answer
    x = 570,314.22

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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.