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Finding the Fourth Proportional to 311,536.76, 430,064.25 and 182,457.32

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Solution

The fourth proportional to 311,536.76, 430,064.25 and 182,457.32 is: 251,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,536.76 : 430,064.25 = 182,457.32 : x
  2. Step 2: Convert to fraction form
    311,536.76/430,064.25 = 182,457.32/x
  3. Step 3: Cross multiply
    311,536.76x = 430,064.25 × 182,457.32
  4. Step 4: Simplify right side
    311,536.76x = 78,468,370,482.81
  5. Step 5: Solve for x
    x = 78,468,370,482.81/311,536.76
  6. Step 6: Final answer
    x = 251,875.16

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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.