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Finding the Fourth Proportional to 759,318, 1,047,880.74 and 419,808.12

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Solution

The fourth proportional to 759,318, 1,047,880.74 and 419,808.12 is: 579,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,318 : 1,047,880.74 = 419,808.12 : x
  2. Step 2: Convert to fraction form
    759,318/1,047,880.74 = 419,808.12/x
  3. Step 3: Cross multiply
    759,318x = 1,047,880.74 × 419,808.12
  4. Step 4: Simplify right side
    759,318x = 439,908,843,443.61
  5. Step 5: Solve for x
    x = 439,908,843,443.61/759,318
  6. Step 6: Final answer
    x = 579,347.31

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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.