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Finding the Fourth Proportional to 428,133.23, 590,798.51 and 234,502.32

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Solution

The fourth proportional to 428,133.23, 590,798.51 and 234,502.32 is: 323,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,133.23 : 590,798.51 = 234,502.32 : x
  2. Step 2: Convert to fraction form
    428,133.23/590,798.51 = 234,502.32/x
  3. Step 3: Cross multiply
    428,133.23x = 590,798.51 × 234,502.32
  4. Step 4: Simplify right side
    428,133.23x = 138,543,623,169.91
  5. Step 5: Solve for x
    x = 138,543,623,169.91/428,133.23
  6. Step 6: Final answer
    x = 323,599.32

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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.