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Finding the Fourth Proportional to 291,692, 402,535.12 and 157,556

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Solution

The fourth proportional to 291,692, 402,535.12 and 157,556 is: 217,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,692 : 402,535.12 = 157,556 : x
  2. Step 2: Convert to fraction form
    291,692/402,535.12 = 157,556/x
  3. Step 3: Cross multiply
    291,692x = 402,535.12 × 157,556
  4. Step 4: Simplify right side
    291,692x = 63,421,823,366.72
  5. Step 5: Solve for x
    x = 63,421,823,366.72/291,692
  6. Step 6: Final answer
    x = 217,427.37

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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.