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Finding the Fourth Proportional to 653,005.85, 901,098.68 and 366,470.58

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Solution

The fourth proportional to 653,005.85, 901,098.68 and 366,470.58 is: 505,701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,005.85 : 901,098.68 = 366,470.58 : x
  2. Step 2: Convert to fraction form
    653,005.85/901,098.68 = 366,470.58/x
  3. Step 3: Cross multiply
    653,005.85x = 901,098.68 × 366,470.58
  4. Step 4: Simplify right side
    653,005.85x = 330,226,152,374.92
  5. Step 5: Solve for x
    x = 330,226,152,374.92/653,005.85
  6. Step 6: Final answer
    x = 505,701.67

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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.