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Finding the Fourth Proportional to 759,259, 1,047,686.46 and 419,681.08

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Solution

The fourth proportional to 759,259, 1,047,686.46 and 419,681.08 is: 579,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,259 : 1,047,686.46 = 419,681.08 : x
  2. Step 2: Convert to fraction form
    759,259/1,047,686.46 = 419,681.08/x
  3. Step 3: Cross multiply
    759,259x = 1,047,686.46 × 419,681.08
  4. Step 4: Simplify right side
    759,259x = 439,694,185,034.18
  5. Step 5: Solve for x
    x = 439,694,185,034.18/759,259
  6. Step 6: Final answer
    x = 579,109.61

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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.