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Finding the Fourth Proportional to 298,926,703.80, 448,390,055.70 and 137,683,567.80

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Solution

The fourth proportional to 298,926,703.80, 448,390,055.70 and 137,683,567.80 is: 206,525,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,926,703.80 : 448,390,055.70 = 137,683,567.80 : x
  2. Step 2: Convert to fraction form
    298,926,703.80/448,390,055.70 = 137,683,567.80/x
  3. Step 3: Cross multiply
    298,926,703.80x = 448,390,055.70 × 137,683,567.80
  4. Step 4: Simplify right side
    298,926,703.80x = 61,735,942,634,816,728
  5. Step 5: Solve for x
    x = 61,735,942,634,816,728/298,926,703.80
  6. Step 6: Final answer
    x = 206,525,351.70

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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.