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Finding the Fourth Proportional to 1,276,278.40, 1,784,427.80 and 1,276,278.40

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Solution

The fourth proportional to 1,276,278.40, 1,784,427.80 and 1,276,278.40 is: 1,784,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,278.40 : 1,784,427.80 = 1,276,278.40 : x
  2. Step 2: Convert to fraction form
    1,276,278.40/1,784,427.80 = 1,276,278.40/x
  3. Step 3: Cross multiply
    1,276,278.40x = 1,784,427.80 × 1,276,278.40
  4. Step 4: Simplify right side
    1,276,278.40x = 2,277,426,657,499.52
  5. Step 5: Solve for x
    x = 2,277,426,657,499.52/1,276,278.40
  6. Step 6: Final answer
    x = 1,784,427.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.