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Finding the Fourth Proportional to 980,700, 1,471,050.08 and 315,852

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Solution

The fourth proportional to 980,700, 1,471,050.08 and 315,852 is: 473,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,700 : 1,471,050.08 = 315,852 : x
  2. Step 2: Convert to fraction form
    980,700/1,471,050.08 = 315,852/x
  3. Step 3: Cross multiply
    980,700x = 1,471,050.08 × 315,852
  4. Step 4: Simplify right side
    980,700x = 464,634,109,868.16
  5. Step 5: Solve for x
    x = 464,634,109,868.16/980,700
  6. Step 6: Final answer
    x = 473,778.03

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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.