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Finding the Fourth Proportional to 905,155, 1,357,907.34 and 344,145.88

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Solution

The fourth proportional to 905,155, 1,357,907.34 and 344,145.88 is: 516,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,155 : 1,357,907.34 = 344,145.88 : x
  2. Step 2: Convert to fraction form
    905,155/1,357,907.34 = 344,145.88/x
  3. Step 3: Cross multiply
    905,155x = 1,357,907.34 × 344,145.88
  4. Step 4: Simplify right side
    905,155x = 467,318,216,482.76
  5. Step 5: Solve for x
    x = 467,318,216,482.76/905,155
  6. Step 6: Final answer
    x = 516,285.30

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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.