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Finding the Fourth Proportional to 370,512.69, 511,300.83 and 209,364.25

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Solution

The fourth proportional to 370,512.69, 511,300.83 and 209,364.25 is: 288,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,512.69 : 511,300.83 = 209,364.25 : x
  2. Step 2: Convert to fraction form
    370,512.69/511,300.83 = 209,364.25/x
  3. Step 3: Cross multiply
    370,512.69x = 511,300.83 × 209,364.25
  4. Step 4: Simplify right side
    370,512.69x = 107,048,113,750.51
  5. Step 5: Solve for x
    x = 107,048,113,750.51/370,512.69
  6. Step 6: Final answer
    x = 288,918.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.