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Finding the Fourth Proportional to 807,788,602.80, 1,211,682,904.20 and 316,338,538.05

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Solution

The fourth proportional to 807,788,602.80, 1,211,682,904.20 and 316,338,538.05 is: 474,507,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,788,602.80 : 1,211,682,904.20 = 316,338,538.05 : x
  2. Step 2: Convert to fraction form
    807,788,602.80/1,211,682,904.20 = 316,338,538.05/x
  3. Step 3: Cross multiply
    807,788,602.80x = 1,211,682,904.20 × 316,338,538.05
  4. Step 4: Simplify right side
    807,788,602.80x = 383,301,998,494,806,208
  5. Step 5: Solve for x
    x = 383,301,998,494,806,208/807,788,602.80
  6. Step 6: Final answer
    x = 474,507,807.08

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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.