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Finding the Fourth Proportional to 978,614,207.40, 1,467,921,311.10 and 543,257,740.20

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Solution

The fourth proportional to 978,614,207.40, 1,467,921,311.10 and 543,257,740.20 is: 814,886,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,614,207.40 : 1,467,921,311.10 = 543,257,740.20 : x
  2. Step 2: Convert to fraction form
    978,614,207.40/1,467,921,311.10 = 543,257,740.20/x
  3. Step 3: Cross multiply
    978,614,207.40x = 1,467,921,311.10 × 543,257,740.20
  4. Step 4: Simplify right side
    978,614,207.40x = 797,459,614,259,607,168
  5. Step 5: Solve for x
    x = 797,459,614,259,607,168/978,614,207.40
  6. Step 6: Final answer
    x = 814,886,610.30

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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.