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Finding the Fourth Proportional to 307,307.52, 460,960.27 and 142,973.51

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Solution

The fourth proportional to 307,307.52, 460,960.27 and 142,973.51 is: 214,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,307.52 : 460,960.27 = 142,973.51 : x
  2. Step 2: Convert to fraction form
    307,307.52/460,960.27 = 142,973.51/x
  3. Step 3: Cross multiply
    307,307.52x = 460,960.27 × 142,973.51
  4. Step 4: Simplify right side
    307,307.52x = 65,905,105,110.21
  5. Step 5: Solve for x
    x = 65,905,105,110.21/307,307.52
  6. Step 6: Final answer
    x = 214,459.79

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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.