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Finding the Fourth Proportional to 368,678.90, 508,505.24 and 278,038.68

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Solution

The fourth proportional to 368,678.90, 508,505.24 and 278,038.68 is: 383,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,678.90 : 508,505.24 = 278,038.68 : x
  2. Step 2: Convert to fraction form
    368,678.90/508,505.24 = 278,038.68/x
  3. Step 3: Cross multiply
    368,678.90x = 508,505.24 × 278,038.68
  4. Step 4: Simplify right side
    368,678.90x = 141,384,125,702.68
  5. Step 5: Solve for x
    x = 141,384,125,702.68/368,678.90
  6. Step 6: Final answer
    x = 383,488.52

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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.