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Finding the Fourth Proportional to 652,296.65, 978,754.19 and 315,148.32

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Solution

The fourth proportional to 652,296.65, 978,754.19 and 315,148.32 is: 472,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,296.65 : 978,754.19 = 315,148.32 : x
  2. Step 2: Convert to fraction form
    652,296.65/978,754.19 = 315,148.32/x
  3. Step 3: Cross multiply
    652,296.65x = 978,754.19 × 315,148.32
  4. Step 4: Simplify right side
    652,296.65x = 308,452,737,095.72
  5. Step 5: Solve for x
    x = 308,452,737,095.72/652,296.65
  6. Step 6: Final answer
    x = 472,871.87

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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.