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Finding the Fourth Proportional to 978,208.15, 1,467,312.23 and 978,208.15

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Solution

The fourth proportional to 978,208.15, 1,467,312.23 and 978,208.15 is: 1,467,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,208.15 : 1,467,312.23 = 978,208.15 : x
  2. Step 2: Convert to fraction form
    978,208.15/1,467,312.23 = 978,208.15/x
  3. Step 3: Cross multiply
    978,208.15x = 1,467,312.23 × 978,208.15
  4. Step 4: Simplify right side
    978,208.15x = 1,435,336,781,980.67
  5. Step 5: Solve for x
    x = 1,435,336,781,980.67/978,208.15
  6. Step 6: Final answer
    x = 1,467,312.23

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1.5x scale

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.