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Finding the Fourth Proportional to 314,485.42, 433,875.91 and 178,440.58

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Solution

The fourth proportional to 314,485.42, 433,875.91 and 178,440.58 is: 246,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,485.42 : 433,875.91 = 178,440.58 : x
  2. Step 2: Convert to fraction form
    314,485.42/433,875.91 = 178,440.58/x
  3. Step 3: Cross multiply
    314,485.42x = 433,875.91 × 178,440.58
  4. Step 4: Simplify right side
    314,485.42x = 77,421,067,700.16
  5. Step 5: Solve for x
    x = 77,421,067,700.16/314,485.42
  6. Step 6: Final answer
    x = 246,183.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.