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Finding the Fourth Proportional to 430,392.50, 645,692.43 and 134,904.50

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Solution

The fourth proportional to 430,392.50, 645,692.43 and 134,904.50 is: 202,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,392.50 : 645,692.43 = 134,904.50 : x
  2. Step 2: Convert to fraction form
    430,392.50/645,692.43 = 134,904.50/x
  3. Step 3: Cross multiply
    430,392.50x = 645,692.43 × 134,904.50
  4. Step 4: Simplify right side
    430,392.50x = 87,106,814,422.94
  5. Step 5: Solve for x
    x = 87,106,814,422.94/430,392.50
  6. Step 6: Final answer
    x = 202,389.25

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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.