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Finding the Fourth Proportional to 1,319,140.20, 1,978,710.30 and 1,319,140.20

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Solution

The fourth proportional to 1,319,140.20, 1,978,710.30 and 1,319,140.20 is: 1,978,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,140.20 : 1,978,710.30 = 1,319,140.20 : x
  2. Step 2: Convert to fraction form
    1,319,140.20/1,978,710.30 = 1,319,140.20/x
  3. Step 3: Cross multiply
    1,319,140.20x = 1,978,710.30 × 1,319,140.20
  4. Step 4: Simplify right side
    1,319,140.20x = 2,610,196,300,884.06
  5. Step 5: Solve for x
    x = 2,610,196,300,884.06/1,319,140.20
  6. Step 6: Final answer
    x = 1,978,710.30

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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.