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Finding the Fourth Proportional to 209,952,295.80, 314,928,443.70 and 56,613,852.60

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Solution

The fourth proportional to 209,952,295.80, 314,928,443.70 and 56,613,852.60 is: 84,920,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,295.80 : 314,928,443.70 = 56,613,852.60 : x
  2. Step 2: Convert to fraction form
    209,952,295.80/314,928,443.70 = 56,613,852.60/x
  3. Step 3: Cross multiply
    209,952,295.80x = 314,928,443.70 × 56,613,852.60
  4. Step 4: Simplify right side
    209,952,295.80x = 17,829,312,491,179,198
  5. Step 5: Solve for x
    x = 17,829,312,491,179,198/209,952,295.80
  6. Step 6: Final answer
    x = 84,920,778.90

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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.