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Finding the Fourth Proportional to 759,315, 1,047,876.58 and 419,805.12

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Solution

The fourth proportional to 759,315, 1,047,876.58 and 419,805.12 is: 579,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,315 : 1,047,876.58 = 419,805.12 : x
  2. Step 2: Convert to fraction form
    759,315/1,047,876.58 = 419,805.12/x
  3. Step 3: Cross multiply
    759,315x = 1,047,876.58 × 419,805.12
  4. Step 4: Simplify right side
    759,315x = 439,903,953,412.09
  5. Step 5: Solve for x
    x = 439,903,953,412.09/759,315
  6. Step 6: Final answer
    x = 579,343.16

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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.