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Finding the Fourth Proportional to 854,656,979.40, 1,281,985,469.10 and 716,907,472.20

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Solution

The fourth proportional to 854,656,979.40, 1,281,985,469.10 and 716,907,472.20 is: 1,075,361,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,656,979.40 : 1,281,985,469.10 = 716,907,472.20 : x
  2. Step 2: Convert to fraction form
    854,656,979.40/1,281,985,469.10 = 716,907,472.20/x
  3. Step 3: Cross multiply
    854,656,979.40x = 1,281,985,469.10 × 716,907,472.20
  4. Step 4: Simplify right side
    854,656,979.40x = 919,064,962,049,612,160
  5. Step 5: Solve for x
    x = 919,064,962,049,612,160/854,656,979.40
  6. Step 6: Final answer
    x = 1,075,361,208.30

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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.