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Finding the Fourth Proportional to 1,046,731.80, 1,566,209.70 and 766,795.80

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Solution

The fourth proportional to 1,046,731.80, 1,566,209.70 and 766,795.80 is: 1,147,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,731.80 : 1,566,209.70 = 766,795.80 : x
  2. Step 2: Convert to fraction form
    1,046,731.80/1,566,209.70 = 766,795.80/x
  3. Step 3: Cross multiply
    1,046,731.80x = 1,566,209.70 × 766,795.80
  4. Step 4: Simplify right side
    1,046,731.80x = 1,200,963,019,879.26
  5. Step 5: Solve for x
    x = 1,200,963,019,879.26/1,046,731.80
  6. Step 6: Final answer
    x = 1,147,345.50

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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.