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Finding the Fourth Proportional to 652,136.80, 978,496.80 and 315,047.20

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Solution

The fourth proportional to 652,136.80, 978,496.80 and 315,047.20 is: 472,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,136.80 : 978,496.80 = 315,047.20 : x
  2. Step 2: Convert to fraction form
    652,136.80/978,496.80 = 315,047.20/x
  3. Step 3: Cross multiply
    652,136.80x = 978,496.80 × 315,047.20
  4. Step 4: Simplify right side
    652,136.80x = 308,272,677,048.96
  5. Step 5: Solve for x
    x = 308,272,677,048.96/652,136.80
  6. Step 6: Final answer
    x = 472,711.67

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