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Finding the Fourth Proportional to 919,328,713.90, 1,378,993,070.85 and 804,537,457.90

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Solution

The fourth proportional to 919,328,713.90, 1,378,993,070.85 and 804,537,457.90 is: 1,206,806,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,328,713.90 : 1,378,993,070.85 = 804,537,457.90 : x
  2. Step 2: Convert to fraction form
    919,328,713.90/1,378,993,070.85 = 804,537,457.90/x
  3. Step 3: Cross multiply
    919,328,713.90x = 1,378,993,070.85 × 804,537,457.90
  4. Step 4: Simplify right side
    919,328,713.90x = 1,109,451,579,683,373,440
  5. Step 5: Solve for x
    x = 1,109,451,579,683,373,440/919,328,713.90
  6. Step 6: Final answer
    x = 1,206,806,186.85

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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.