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Finding the Fourth Proportional to 978,611,213.40, 1,467,916,820.10 and 543,254,746.20

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Solution

The fourth proportional to 978,611,213.40, 1,467,916,820.10 and 543,254,746.20 is: 814,882,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,611,213.40 : 1,467,916,820.10 = 543,254,746.20 : x
  2. Step 2: Convert to fraction form
    978,611,213.40/1,467,916,820.10 = 543,254,746.20/x
  3. Step 3: Cross multiply
    978,611,213.40x = 1,467,916,820.10 × 543,254,746.20
  4. Step 4: Simplify right side
    978,611,213.40x = 797,452,779,546,136,576
  5. Step 5: Solve for x
    x = 797,452,779,546,136,576/978,611,213.40
  6. Step 6: Final answer
    x = 814,882,119.30

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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.