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Finding the Fourth Proportional to 759,144, 1,047,528 and 419,566.08

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Solution

The fourth proportional to 759,144, 1,047,528 and 419,566.08 is: 578,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,144 : 1,047,528 = 419,566.08 : x
  2. Step 2: Convert to fraction form
    759,144/1,047,528 = 419,566.08/x
  3. Step 3: Cross multiply
    759,144x = 1,047,528 × 419,566.08
  4. Step 4: Simplify right side
    759,144x = 439,507,216,650.24
  5. Step 5: Solve for x
    x = 439,507,216,650.24/759,144
  6. Step 6: Final answer
    x = 578,951.05

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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.