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Finding the Fourth Proportional to 590,029.81, 813,457.17 and 385,729.47

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Solution

The fourth proportional to 590,029.81, 813,457.17 and 385,729.47 is: 531,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,029.81 : 813,457.17 = 385,729.47 : x
  2. Step 2: Convert to fraction form
    590,029.81/813,457.17 = 385,729.47/x
  3. Step 3: Cross multiply
    590,029.81x = 813,457.17 × 385,729.47
  4. Step 4: Simplify right side
    590,029.81x = 313,774,403,051.80
  5. Step 5: Solve for x
    x = 313,774,403,051.80/590,029.81
  6. Step 6: Final answer
    x = 531,794.16

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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.