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Finding the Fourth Proportional to 292,512, 438,768 and 70,896

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Solution

The fourth proportional to 292,512, 438,768 and 70,896 is: 106,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,512 : 438,768 = 70,896 : x
  2. Step 2: Convert to fraction form
    292,512/438,768 = 70,896/x
  3. Step 3: Cross multiply
    292,512x = 438,768 × 70,896
  4. Step 4: Simplify right side
    292,512x = 31,106,896,128
  5. Step 5: Solve for x
    x = 31,106,896,128/292,512
  6. Step 6: Final answer
    x = 106,344

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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.