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Finding the Fourth Proportional to 759,442.16, 1,047,988.32 and 419,888

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Solution

The fourth proportional to 759,442.16, 1,047,988.32 and 419,888 is: 579,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,442.16 : 1,047,988.32 = 419,888 : x
  2. Step 2: Convert to fraction form
    759,442.16/1,047,988.32 = 419,888/x
  3. Step 3: Cross multiply
    759,442.16x = 1,047,988.32 × 419,888
  4. Step 4: Simplify right side
    759,442.16x = 440,037,719,708.16
  5. Step 5: Solve for x
    x = 440,037,719,708.16/759,442.16
  6. Step 6: Final answer
    x = 579,422.30

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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.