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Finding the Fourth Proportional to 213,381.36, 294,462 and 117,885.60

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Solution

The fourth proportional to 213,381.36, 294,462 and 117,885.60 is: 162,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,381.36 : 294,462 = 117,885.60 : x
  2. Step 2: Convert to fraction form
    213,381.36/294,462 = 117,885.60/x
  3. Step 3: Cross multiply
    213,381.36x = 294,462 × 117,885.60
  4. Step 4: Simplify right side
    213,381.36x = 34,712,829,547.20
  5. Step 5: Solve for x
    x = 34,712,829,547.20/213,381.36
  6. Step 6: Final answer
    x = 162,679.77

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1.5x scale

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.