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Finding the Fourth Proportional to 570,519.84, 787,329.44 and 312,407.66

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Solution

The fourth proportional to 570,519.84, 787,329.44 and 312,407.66 is: 431,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,519.84 : 787,329.44 = 312,407.66 : x
  2. Step 2: Convert to fraction form
    570,519.84/787,329.44 = 312,407.66/x
  3. Step 3: Cross multiply
    570,519.84x = 787,329.44 × 312,407.66
  4. Step 4: Simplify right side
    570,519.84x = 245,967,747,999.51
  5. Step 5: Solve for x
    x = 245,967,747,999.51/570,519.84
  6. Step 6: Final answer
    x = 431,129.18

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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.