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Finding the Fourth Proportional to 700,056, 1,050,084 and 201,420

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Solution

The fourth proportional to 700,056, 1,050,084 and 201,420 is: 302,130

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,056 : 1,050,084 = 201,420 : x
  2. Step 2: Convert to fraction form
    700,056/1,050,084 = 201,420/x
  3. Step 3: Cross multiply
    700,056x = 1,050,084 × 201,420
  4. Step 4: Simplify right side
    700,056x = 211,507,919,280
  5. Step 5: Solve for x
    x = 211,507,919,280/700,056
  6. Step 6: Final answer
    x = 302,130

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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.