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Finding the Fourth Proportional to 255,970.69, 383,657.06 and 192,587.18

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Solution

The fourth proportional to 255,970.69, 383,657.06 and 192,587.18 is: 288,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,970.69 : 383,657.06 = 192,587.18 : x
  2. Step 2: Convert to fraction form
    255,970.69/383,657.06 = 192,587.18/x
  3. Step 3: Cross multiply
    255,970.69x = 383,657.06 × 192,587.18
  4. Step 4: Simplify right side
    255,970.69x = 73,887,429,835.67
  5. Step 5: Solve for x
    x = 73,887,429,835.67/255,970.69
  6. Step 6: Final answer
    x = 288,655.82

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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.