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Finding the Fourth Proportional to 703,075.28, 970,239.04 and 380,778

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Solution

The fourth proportional to 703,075.28, 970,239.04 and 380,778 is: 525,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,075.28 : 970,239.04 = 380,778 : x
  2. Step 2: Convert to fraction form
    703,075.28/970,239.04 = 380,778/x
  3. Step 3: Cross multiply
    703,075.28x = 970,239.04 × 380,778
  4. Step 4: Simplify right side
    703,075.28x = 369,445,681,173.12
  5. Step 5: Solve for x
    x = 369,445,681,173.12/703,075.28
  6. Step 6: Final answer
    x = 525,471.02

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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.