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Finding the Fourth Proportional to 286,163.42, 429,254.28 and 143,931.06

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Solution

The fourth proportional to 286,163.42, 429,254.28 and 143,931.06 is: 215,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,163.42 : 429,254.28 = 143,931.06 : x
  2. Step 2: Convert to fraction form
    286,163.42/429,254.28 = 143,931.06/x
  3. Step 3: Cross multiply
    286,163.42x = 429,254.28 × 143,931.06
  4. Step 4: Simplify right side
    286,163.42x = 61,783,023,529.94
  5. Step 5: Solve for x
    x = 61,783,023,529.94/286,163.42
  6. Step 6: Final answer
    x = 215,901.19

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1.5x scale

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.