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Finding the Fourth Proportional to 298,943,806.80, 448,415,710.20 and 183,554,187.60

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Solution

The fourth proportional to 298,943,806.80, 448,415,710.20 and 183,554,187.60 is: 275,331,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,943,806.80 : 448,415,710.20 = 183,554,187.60 : x
  2. Step 2: Convert to fraction form
    298,943,806.80/448,415,710.20 = 183,554,187.60/x
  3. Step 3: Cross multiply
    298,943,806.80x = 448,415,710.20 × 183,554,187.60
  4. Step 4: Simplify right side
    298,943,806.80x = 82,308,581,392,838,032
  5. Step 5: Solve for x
    x = 82,308,581,392,838,032/298,943,806.80
  6. Step 6: Final answer
    x = 275,331,281.40

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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.