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Finding the Fourth Proportional to 430,914.94, 646,495.73 and 146,668.12

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Solution

The fourth proportional to 430,914.94, 646,495.73 and 146,668.12 is: 220,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,914.94 : 646,495.73 = 146,668.12 : x
  2. Step 2: Convert to fraction form
    430,914.94/646,495.73 = 146,668.12/x
  3. Step 3: Cross multiply
    430,914.94x = 646,495.73 × 146,668.12
  4. Step 4: Simplify right side
    430,914.94x = 94,820,311,507.55
  5. Step 5: Solve for x
    x = 94,820,311,507.55/430,914.94
  6. Step 6: Final answer
    x = 220,044.15

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1.5x scale

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.