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Finding the Fourth Proportional to 475,886.68, 712,878.28 and 286,242.36

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Solution

The fourth proportional to 475,886.68, 712,878.28 and 286,242.36 is: 428,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,886.68 : 712,878.28 = 286,242.36 : x
  2. Step 2: Convert to fraction form
    475,886.68/712,878.28 = 286,242.36/x
  3. Step 3: Cross multiply
    475,886.68x = 712,878.28 × 286,242.36
  4. Step 4: Simplify right side
    475,886.68x = 204,055,961,259.94
  5. Step 5: Solve for x
    x = 204,055,961,259.94/475,886.68
  6. Step 6: Final answer
    x = 428,791.08

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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.