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Finding the Fourth Proportional to 291,673, 402,509.01 and 157,537

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Solution

The fourth proportional to 291,673, 402,509.01 and 157,537 is: 217,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,673 : 402,509.01 = 157,537 : x
  2. Step 2: Convert to fraction form
    291,673/402,509.01 = 157,537/x
  3. Step 3: Cross multiply
    291,673x = 402,509.01 × 157,537
  4. Step 4: Simplify right side
    291,673x = 63,410,061,908.37
  5. Step 5: Solve for x
    x = 63,410,061,908.37/291,673
  6. Step 6: Final answer
    x = 217,401.21

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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.