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Finding the Fourth Proportional to 291,707.12, 402,555.84 and 157,571.12

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Solution

The fourth proportional to 291,707.12, 402,555.84 and 157,571.12 is: 217,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,707.12 : 402,555.84 = 157,571.12 : x
  2. Step 2: Convert to fraction form
    291,707.12/402,555.84 = 157,571.12/x
  3. Step 3: Cross multiply
    291,707.12x = 402,555.84 × 157,571.12
  4. Step 4: Simplify right side
    291,707.12x = 63,431,174,571.34
  5. Step 5: Solve for x
    x = 63,431,174,571.34/291,707.12
  6. Step 6: Final answer
    x = 217,448.15

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1.5x scale

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.