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Finding the Fourth Proportional to 942,378, 1,413,725.76 and 436,733.88

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Solution

The fourth proportional to 942,378, 1,413,725.76 and 436,733.88 is: 655,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,378 : 1,413,725.76 = 436,733.88 : x
  2. Step 2: Convert to fraction form
    942,378/1,413,725.76 = 436,733.88/x
  3. Step 3: Cross multiply
    942,378x = 1,413,725.76 × 436,733.88
  4. Step 4: Simplify right side
    942,378x = 617,421,936,420.75
  5. Step 5: Solve for x
    x = 617,421,936,420.75/942,378
  6. Step 6: Final answer
    x = 655,174.40

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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.