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Finding the Fourth Proportional to 292,020, 438,077.39 and 114,430.74

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Solution

The fourth proportional to 292,020, 438,077.39 and 114,430.74 is: 171,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,020 : 438,077.39 = 114,430.74 : x
  2. Step 2: Convert to fraction form
    292,020/438,077.39 = 114,430.74/x
  3. Step 3: Cross multiply
    292,020x = 438,077.39 × 114,430.74
  4. Step 4: Simplify right side
    292,020x = 50,129,519,342.81
  5. Step 5: Solve for x
    x = 50,129,519,342.81/292,020
  6. Step 6: Final answer
    x = 171,664.68

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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.