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Finding the Fourth Proportional to 291,692.16, 402,535.36 and 157,556.16

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Solution

The fourth proportional to 291,692.16, 402,535.36 and 157,556.16 is: 217,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,692.16 : 402,535.36 = 157,556.16 : x
  2. Step 2: Convert to fraction form
    291,692.16/402,535.36 = 157,556.16/x
  3. Step 3: Cross multiply
    291,692.16x = 402,535.36 × 157,556.16
  4. Step 4: Simplify right side
    291,692.16x = 63,421,925,585.82
  5. Step 5: Solve for x
    x = 63,421,925,585.82/291,692.16
  6. Step 6: Final answer
    x = 217,427.60

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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.