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Finding the Fourth Proportional to 307,968.90, 430,106.70 and 307,968.90

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Solution

The fourth proportional to 307,968.90, 430,106.70 and 307,968.90 is: 430,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,968.90 : 430,106.70 = 307,968.90 : x
  2. Step 2: Convert to fraction form
    307,968.90/430,106.70 = 307,968.90/x
  3. Step 3: Cross multiply
    307,968.90x = 430,106.70 × 307,968.90
  4. Step 4: Simplify right side
    307,968.90x = 132,459,487,281.63
  5. Step 5: Solve for x
    x = 132,459,487,281.63/307,968.90
  6. Step 6: Final answer
    x = 430,106.70

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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.