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Finding the Fourth Proportional to 307,998.40, 430,148 and 307,998.40

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Solution

The fourth proportional to 307,998.40, 430,148 and 307,998.40 is: 430,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,998.40 : 430,148 = 307,998.40 : x
  2. Step 2: Convert to fraction form
    307,998.40/430,148 = 307,998.40/x
  3. Step 3: Cross multiply
    307,998.40x = 430,148 × 307,998.40
  4. Step 4: Simplify right side
    307,998.40x = 132,484,895,763.20
  5. Step 5: Solve for x
    x = 132,484,895,763.20/307,998.40
  6. Step 6: Final answer
    x = 430,148

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.