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Finding the Fourth Proportional to 557,133, 768,852.58 and 315,409.32

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Solution

The fourth proportional to 557,133, 768,852.58 and 315,409.32 is: 435,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,133 : 768,852.58 = 315,409.32 : x
  2. Step 2: Convert to fraction form
    557,133/768,852.58 = 315,409.32/x
  3. Step 3: Cross multiply
    557,133x = 768,852.58 × 315,409.32
  4. Step 4: Simplify right side
    557,133x = 242,503,269,438.05
  5. Step 5: Solve for x
    x = 242,503,269,438.05/557,133
  6. Step 6: Final answer
    x = 435,269.98

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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.