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Finding the Fourth Proportional to 344,275.30, 475,156.28 and 286,823.51

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Solution

The fourth proportional to 344,275.30, 475,156.28 and 286,823.51 is: 395,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,275.30 : 475,156.28 = 286,823.51 : x
  2. Step 2: Convert to fraction form
    344,275.30/475,156.28 = 286,823.51/x
  3. Step 3: Cross multiply
    344,275.30x = 475,156.28 × 286,823.51
  4. Step 4: Simplify right side
    344,275.30x = 136,285,993,210.63
  5. Step 5: Solve for x
    x = 136,285,993,210.63/344,275.30
  6. Step 6: Final answer
    x = 395,863.41

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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.