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Finding the Fourth Proportional to 291,806.51, 402,692.87 and 157,670.51

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Solution

The fourth proportional to 291,806.51, 402,692.87 and 157,670.51 is: 217,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,806.51 : 402,692.87 = 157,670.51 : x
  2. Step 2: Convert to fraction form
    291,806.51/402,692.87 = 157,670.51/x
  3. Step 3: Cross multiply
    291,806.51x = 402,692.87 × 157,670.51
  4. Step 4: Simplify right side
    291,806.51x = 63,492,789,397.91
  5. Step 5: Solve for x
    x = 63,492,789,397.91/291,806.51
  6. Step 6: Final answer
    x = 217,585.24

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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.