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Finding the Fourth Proportional to 286,939.84, 430,322.24 and 230,646.40

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Solution

The fourth proportional to 286,939.84, 430,322.24 and 230,646.40 is: 345,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,939.84 : 430,322.24 = 230,646.40 : x
  2. Step 2: Convert to fraction form
    286,939.84/430,322.24 = 230,646.40/x
  3. Step 3: Cross multiply
    286,939.84x = 430,322.24 × 230,646.40
  4. Step 4: Simplify right side
    286,939.84x = 99,252,275,495.94
  5. Step 5: Solve for x
    x = 99,252,275,495.94/286,939.84
  6. Step 6: Final answer
    x = 345,899.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.