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Finding the Fourth Proportional to 262,085.40, 392,544.90 and 215,429.40

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Solution

The fourth proportional to 262,085.40, 392,544.90 and 215,429.40 is: 322,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,085.40 : 392,544.90 = 215,429.40 : x
  2. Step 2: Convert to fraction form
    262,085.40/392,544.90 = 215,429.40/x
  3. Step 3: Cross multiply
    262,085.40x = 392,544.90 × 215,429.40
  4. Step 4: Simplify right side
    262,085.40x = 84,565,712,280.06
  5. Step 5: Solve for x
    x = 84,565,712,280.06/262,085.40
  6. Step 6: Final answer
    x = 322,664.72

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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.