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Finding the Fourth Proportional to 286,870.80, 429,465 and 201,184.68

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Solution

The fourth proportional to 286,870.80, 429,465 and 201,184.68 is: 301,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,870.80 : 429,465 = 201,184.68 : x
  2. Step 2: Convert to fraction form
    286,870.80/429,465 = 201,184.68/x
  3. Step 3: Cross multiply
    286,870.80x = 429,465 × 201,184.68
  4. Step 4: Simplify right side
    286,870.80x = 86,401,778,596.20
  5. Step 5: Solve for x
    x = 86,401,778,596.20/286,870.80
  6. Step 6: Final answer
    x = 301,187.08

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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.