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Finding the Fourth Proportional to 559,757.16, 772,457.04 and 305,109.36

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Solution

The fourth proportional to 559,757.16, 772,457.04 and 305,109.36 is: 421,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,757.16 : 772,457.04 = 305,109.36 : x
  2. Step 2: Convert to fraction form
    559,757.16/772,457.04 = 305,109.36/x
  3. Step 3: Cross multiply
    559,757.16x = 772,457.04 × 305,109.36
  4. Step 4: Simplify right side
    559,757.16x = 235,683,873,101.89
  5. Step 5: Solve for x
    x = 235,683,873,101.89/559,757.16
  6. Step 6: Final answer
    x = 421,046.64

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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.