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Finding the Fourth Proportional to 292,139.36, 438,390.48 and 187,033.76

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Solution

The fourth proportional to 292,139.36, 438,390.48 and 187,033.76 is: 280,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,139.36 : 438,390.48 = 187,033.76 : x
  2. Step 2: Convert to fraction form
    292,139.36/438,390.48 = 187,033.76/x
  3. Step 3: Cross multiply
    292,139.36x = 438,390.48 × 187,033.76
  4. Step 4: Simplify right side
    292,139.36x = 81,993,819,822.60
  5. Step 5: Solve for x
    x = 81,993,819,822.60/292,139.36
  6. Step 6: Final answer
    x = 280,666.80

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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.