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Finding the Fourth Proportional to 291,574.50, 402,376.86 and 162,509.41

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Solution

The fourth proportional to 291,574.50, 402,376.86 and 162,509.41 is: 224,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,574.50 : 402,376.86 = 162,509.41 : x
  2. Step 2: Convert to fraction form
    291,574.50/402,376.86 = 162,509.41/x
  3. Step 3: Cross multiply
    291,574.50x = 402,376.86 × 162,509.41
  4. Step 4: Simplify right side
    291,574.50x = 65,390,024,104.37
  5. Step 5: Solve for x
    x = 65,390,024,104.37/291,574.50
  6. Step 6: Final answer
    x = 224,265.24

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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.