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Finding the Fourth Proportional to 309,051.58, 463,735.58 and 147,128.88

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Solution

The fourth proportional to 309,051.58, 463,735.58 and 147,128.88 is: 220,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,051.58 : 463,735.58 = 147,128.88 : x
  2. Step 2: Convert to fraction form
    309,051.58/463,735.58 = 147,128.88/x
  3. Step 3: Cross multiply
    309,051.58x = 463,735.58 × 147,128.88
  4. Step 4: Simplify right side
    309,051.58x = 68,228,896,501.55
  5. Step 5: Solve for x
    x = 68,228,896,501.55/309,051.58
  6. Step 6: Final answer
    x = 220,768.64

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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.