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Finding the Fourth Proportional to 390,852.84, 538,639.76 and 313,240.33

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Solution

The fourth proportional to 390,852.84, 538,639.76 and 313,240.33 is: 431,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,852.84 : 538,639.76 = 313,240.33 : x
  2. Step 2: Convert to fraction form
    390,852.84/538,639.76 = 313,240.33/x
  3. Step 3: Cross multiply
    390,852.84x = 538,639.76 × 313,240.33
  4. Step 4: Simplify right side
    390,852.84x = 168,723,691,914.12
  5. Step 5: Solve for x
    x = 168,723,691,914.12/390,852.84
  6. Step 6: Final answer
    x = 431,680.86

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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.