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Finding the Fourth Proportional to 570,857.81, 787,749.98 and 312,683.27

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Solution

The fourth proportional to 570,857.81, 787,749.98 and 312,683.27 is: 431,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,857.81 : 787,749.98 = 312,683.27 : x
  2. Step 2: Convert to fraction form
    570,857.81/787,749.98 = 312,683.27/x
  3. Step 3: Cross multiply
    570,857.81x = 787,749.98 × 312,683.27
  4. Step 4: Simplify right side
    570,857.81x = 246,316,234,186.67
  5. Step 5: Solve for x
    x = 246,316,234,186.67/570,857.81
  6. Step 6: Final answer
    x = 431,484.39

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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.