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Finding the Fourth Proportional to 255,715.40, 383,702.65 and 170,384.58

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Solution

The fourth proportional to 255,715.40, 383,702.65 and 170,384.58 is: 255,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,715.40 : 383,702.65 = 170,384.58 : x
  2. Step 2: Convert to fraction form
    255,715.40/383,702.65 = 170,384.58/x
  3. Step 3: Cross multiply
    255,715.40x = 383,702.65 × 170,384.58
  4. Step 4: Simplify right side
    255,715.40x = 65,377,015,397.59
  5. Step 5: Solve for x
    x = 65,377,015,397.59/255,715.40
  6. Step 6: Final answer
    x = 255,663.20

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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.