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Finding the Fourth Proportional to 291,672, 402,507.63 and 157,536

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Solution

The fourth proportional to 291,672, 402,507.63 and 157,536 is: 217,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,672 : 402,507.63 = 157,536 : x
  2. Step 2: Convert to fraction form
    291,672/402,507.63 = 157,536/x
  3. Step 3: Cross multiply
    291,672x = 402,507.63 × 157,536
  4. Step 4: Simplify right side
    291,672x = 63,409,441,999.68
  5. Step 5: Solve for x
    x = 63,409,441,999.68/291,672
  6. Step 6: Final answer
    x = 217,399.83

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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.