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Finding the Fourth Proportional to 286,820.77, 395,813.45 and 157,772.46

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Solution

The fourth proportional to 286,820.77, 395,813.45 and 157,772.46 is: 217,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,820.77 : 395,813.45 = 157,772.46 : x
  2. Step 2: Convert to fraction form
    286,820.77/395,813.45 = 157,772.46/x
  3. Step 3: Cross multiply
    286,820.77x = 395,813.45 × 157,772.46
  4. Step 4: Simplify right side
    286,820.77x = 62,448,461,313.16
  5. Step 5: Solve for x
    x = 62,448,461,313.16/286,820.77
  6. Step 6: Final answer
    x = 217,726.43

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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.