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Finding the Fourth Proportional to 780,729, 1,171,210.14 and 248,267.40

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Solution

The fourth proportional to 780,729, 1,171,210.14 and 248,267.40 is: 372,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,729 : 1,171,210.14 = 248,267.40 : x
  2. Step 2: Convert to fraction form
    780,729/1,171,210.14 = 248,267.40/x
  3. Step 3: Cross multiply
    780,729x = 1,171,210.14 × 248,267.40
  4. Step 4: Simplify right side
    780,729x = 290,773,296,311.44
  5. Step 5: Solve for x
    x = 290,773,296,311.44/780,729
  6. Step 6: Final answer
    x = 372,438.19

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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.