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Finding the Fourth Proportional to 286,871.31, 429,465.78 and 201,185.19

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Solution

The fourth proportional to 286,871.31, 429,465.78 and 201,185.19 is: 301,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,871.31 : 429,465.78 = 201,185.19 : x
  2. Step 2: Convert to fraction form
    286,871.31/429,465.78 = 201,185.19/x
  3. Step 3: Cross multiply
    286,871.31x = 429,465.78 × 201,185.19
  4. Step 4: Simplify right side
    286,871.31x = 86,402,154,547.80
  5. Step 5: Solve for x
    x = 86,402,154,547.80/286,871.31
  6. Step 6: Final answer
    x = 301,187.86

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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.