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Finding the Fourth Proportional to 291,334.16, 402,041.79 and 162,271.59

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Solution

The fourth proportional to 291,334.16, 402,041.79 and 162,271.59 is: 223,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,334.16 : 402,041.79 = 162,271.59 : x
  2. Step 2: Convert to fraction form
    291,334.16/402,041.79 = 162,271.59/x
  3. Step 3: Cross multiply
    291,334.16x = 402,041.79 × 162,271.59
  4. Step 4: Simplify right side
    291,334.16x = 65,239,960,509.75
  5. Step 5: Solve for x
    x = 65,239,960,509.75/291,334.16
  6. Step 6: Final answer
    x = 223,935.16

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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.