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Finding the Fourth Proportional to 292,364, 438,548.16 and 70,748

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Solution

The fourth proportional to 292,364, 438,548.16 and 70,748 is: 106,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,364 : 438,548.16 = 70,748 : x
  2. Step 2: Convert to fraction form
    292,364/438,548.16 = 70,748/x
  3. Step 3: Cross multiply
    292,364x = 438,548.16 × 70,748
  4. Step 4: Simplify right side
    292,364x = 31,026,405,223.68
  5. Step 5: Solve for x
    x = 31,026,405,223.68/292,364
  6. Step 6: Final answer
    x = 106,122.52

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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.