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Finding the Fourth Proportional to 205,473.70, 308,210.55 and 57,729.70

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Solution

The fourth proportional to 205,473.70, 308,210.55 and 57,729.70 is: 86,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,473.70 : 308,210.55 = 57,729.70 : x
  2. Step 2: Convert to fraction form
    205,473.70/308,210.55 = 57,729.70/x
  3. Step 3: Cross multiply
    205,473.70x = 308,210.55 × 57,729.70
  4. Step 4: Simplify right side
    205,473.70x = 17,792,902,588.34
  5. Step 5: Solve for x
    x = 17,792,902,588.34/205,473.70
  6. Step 6: Final answer
    x = 86,594.55

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1.5x scale

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.