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Finding the Fourth Proportional to 354,258.81, 488,875.77 and 193,113.36

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Solution

The fourth proportional to 354,258.81, 488,875.77 and 193,113.36 is: 266,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,258.81 : 488,875.77 = 193,113.36 : x
  2. Step 2: Convert to fraction form
    354,258.81/488,875.77 = 193,113.36/x
  3. Step 3: Cross multiply
    354,258.81x = 488,875.77 × 193,113.36
  4. Step 4: Simplify right side
    354,258.81x = 94,408,442,567.29
  5. Step 5: Solve for x
    x = 94,408,442,567.29/354,258.81
  6. Step 6: Final answer
    x = 266,495.68

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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.