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Finding the Fourth Proportional to 405,915.51, 608,875.86 and 106,393.50

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Solution

The fourth proportional to 405,915.51, 608,875.86 and 106,393.50 is: 159,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,915.51 : 608,875.86 = 106,393.50 : x
  2. Step 2: Convert to fraction form
    405,915.51/608,875.86 = 106,393.50/x
  3. Step 3: Cross multiply
    405,915.51x = 608,875.86 × 106,393.50
  4. Step 4: Simplify right side
    405,915.51x = 64,780,433,810.91
  5. Step 5: Solve for x
    x = 64,780,433,810.91/405,915.51
  6. Step 6: Final answer
    x = 159,590.93

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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.