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Finding the Fourth Proportional to 493,030.59, 680,368.36 and 278,190.65

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Solution

The fourth proportional to 493,030.59, 680,368.36 and 278,190.65 is: 383,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,030.59 : 680,368.36 = 278,190.65 : x
  2. Step 2: Convert to fraction form
    493,030.59/680,368.36 = 278,190.65/x
  3. Step 3: Cross multiply
    493,030.59x = 680,368.36 × 278,190.65
  4. Step 4: Simplify right side
    493,030.59x = 189,272,116,307.83
  5. Step 5: Solve for x
    x = 189,272,116,307.83/493,030.59
  6. Step 6: Final answer
    x = 383,895.28

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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.