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Finding the Fourth Proportional to 291,706.10, 402,554.67 and 157,570.10

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Solution

The fourth proportional to 291,706.10, 402,554.67 and 157,570.10 is: 217,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,706.10 : 402,554.67 = 157,570.10 : x
  2. Step 2: Convert to fraction form
    291,706.10/402,554.67 = 157,570.10/x
  3. Step 3: Cross multiply
    291,706.10x = 402,554.67 × 157,570.10
  4. Step 4: Simplify right side
    291,706.10x = 63,430,579,607.37
  5. Step 5: Solve for x
    x = 63,430,579,607.37/291,706.10
  6. Step 6: Final answer
    x = 217,446.87

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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.