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Finding the Fourth Proportional to 291,806.72, 402,692.64 and 157,670.72

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Solution

The fourth proportional to 291,806.72, 402,692.64 and 157,670.72 is: 217,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,806.72 : 402,692.64 = 157,670.72 : x
  2. Step 2: Convert to fraction form
    291,806.72/402,692.64 = 157,670.72/x
  3. Step 3: Cross multiply
    291,806.72x = 402,692.64 × 157,670.72
  4. Step 4: Simplify right side
    291,806.72x = 63,492,838,487.50
  5. Step 5: Solve for x
    x = 63,492,838,487.50/291,806.72
  6. Step 6: Final answer
    x = 217,585.25

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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.