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Finding the Fourth Proportional to 430,465, 593,881.26 and 269,258.80

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Solution

The fourth proportional to 430,465, 593,881.26 and 269,258.80 is: 371,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,465 : 593,881.26 = 269,258.80 : x
  2. Step 2: Convert to fraction form
    430,465/593,881.26 = 269,258.80/x
  3. Step 3: Cross multiply
    430,465x = 593,881.26 × 269,258.80
  4. Step 4: Simplify right side
    430,465x = 159,907,755,410.09
  5. Step 5: Solve for x
    x = 159,907,755,410.09/430,465
  6. Step 6: Final answer
    x = 371,476.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.