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Finding the Fourth Proportional to 651,117.42, 978,173.15 and 459,433.08

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Solution

The fourth proportional to 651,117.42, 978,173.15 and 459,433.08 is: 690,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,117.42 : 978,173.15 = 459,433.08 : x
  2. Step 2: Convert to fraction form
    651,117.42/978,173.15 = 459,433.08/x
  3. Step 3: Cross multiply
    651,117.42x = 978,173.15 × 459,433.08
  4. Step 4: Simplify right side
    651,117.42x = 449,405,100,780.64
  5. Step 5: Solve for x
    x = 449,405,100,780.64/651,117.42
  6. Step 6: Final answer
    x = 690,205.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.