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Finding the Fourth Proportional to 428,987.96, 590,866.94 and 319,742.20

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Solution

The fourth proportional to 428,987.96, 590,866.94 and 319,742.20 is: 440,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,987.96 : 590,866.94 = 319,742.20 : x
  2. Step 2: Convert to fraction form
    428,987.96/590,866.94 = 319,742.20/x
  3. Step 3: Cross multiply
    428,987.96x = 590,866.94 × 319,742.20
  4. Step 4: Simplify right side
    428,987.96x = 188,925,095,302.87
  5. Step 5: Solve for x
    x = 188,925,095,302.87/428,987.96
  6. Step 6: Final answer
    x = 440,397.20

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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.