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Finding the Fourth Proportional to 291,700, 402,546.16 and 157,564

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Solution

The fourth proportional to 291,700, 402,546.16 and 157,564 is: 217,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,700 : 402,546.16 = 157,564 : x
  2. Step 2: Convert to fraction form
    291,700/402,546.16 = 157,564/x
  3. Step 3: Cross multiply
    291,700x = 402,546.16 × 157,564
  4. Step 4: Simplify right side
    291,700x = 63,426,783,154.24
  5. Step 5: Solve for x
    x = 63,426,783,154.24/291,700
  6. Step 6: Final answer
    x = 217,438.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.