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Finding the Fourth Proportional to 1,298,397.80, 1,947,596.70 and 983,469.80

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Solution

The fourth proportional to 1,298,397.80, 1,947,596.70 and 983,469.80 is: 1,475,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,397.80 : 1,947,596.70 = 983,469.80 : x
  2. Step 2: Convert to fraction form
    1,298,397.80/1,947,596.70 = 983,469.80/x
  3. Step 3: Cross multiply
    1,298,397.80x = 1,947,596.70 × 983,469.80
  4. Step 4: Simplify right side
    1,298,397.80x = 1,915,402,537,029.66
  5. Step 5: Solve for x
    x = 1,915,402,537,029.66/1,298,397.80
  6. Step 6: Final answer
    x = 1,475,204.70

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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.