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Finding the Fourth Proportional to 313,980.59, 433,280.12 and 178,023.72

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Solution

The fourth proportional to 313,980.59, 433,280.12 and 178,023.72 is: 245,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,980.59 : 433,280.12 = 178,023.72 : x
  2. Step 2: Convert to fraction form
    313,980.59/433,280.12 = 178,023.72/x
  3. Step 3: Cross multiply
    313,980.59x = 433,280.12 × 178,023.72
  4. Step 4: Simplify right side
    313,980.59x = 77,134,139,209.51
  5. Step 5: Solve for x
    x = 77,134,139,209.51/313,980.59
  6. Step 6: Final answer
    x = 245,665.31

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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.