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Finding the Fourth Proportional to 651,975.40, 978,129.42 and 202,700.08

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Solution

The fourth proportional to 651,975.40, 978,129.42 and 202,700.08 is: 304,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,975.40 : 978,129.42 = 202,700.08 : x
  2. Step 2: Convert to fraction form
    651,975.40/978,129.42 = 202,700.08/x
  3. Step 3: Cross multiply
    651,975.40x = 978,129.42 × 202,700.08
  4. Step 4: Simplify right side
    651,975.40x = 198,266,911,684.35
  5. Step 5: Solve for x
    x = 198,266,911,684.35/651,975.40
  6. Step 6: Final answer
    x = 304,101.83

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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.