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Finding the Fourth Proportional to 291,774.54, 402,648.53 and 157,638.54

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Solution

The fourth proportional to 291,774.54, 402,648.53 and 157,638.54 is: 217,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,774.54 : 402,648.53 = 157,638.54 : x
  2. Step 2: Convert to fraction form
    291,774.54/402,648.53 = 157,638.54/x
  3. Step 3: Cross multiply
    291,774.54x = 402,648.53 × 157,638.54
  4. Step 4: Simplify right side
    291,774.54x = 63,472,926,402.35
  5. Step 5: Solve for x
    x = 63,472,926,402.35/291,774.54
  6. Step 6: Final answer
    x = 217,541.00

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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.