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Finding the Fourth Proportional to 289,494,751.80, 434,242,127.70 and 258,883,750.20

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Solution

The fourth proportional to 289,494,751.80, 434,242,127.70 and 258,883,750.20 is: 388,325,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,494,751.80 : 434,242,127.70 = 258,883,750.20 : x
  2. Step 2: Convert to fraction form
    289,494,751.80/434,242,127.70 = 258,883,750.20/x
  3. Step 3: Cross multiply
    289,494,751.80x = 434,242,127.70 × 258,883,750.20
  4. Step 4: Simplify right side
    289,494,751.80x = 112,418,230,513,803,296
  5. Step 5: Solve for x
    x = 112,418,230,513,803,296/289,494,751.80
  6. Step 6: Final answer
    x = 388,325,625.30

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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.