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Finding the Fourth Proportional to 570,327.66, 786,969.78 and 315,678.24

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Solution

The fourth proportional to 570,327.66, 786,969.78 and 315,678.24 is: 435,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,327.66 : 786,969.78 = 315,678.24 : x
  2. Step 2: Convert to fraction form
    570,327.66/786,969.78 = 315,678.24/x
  3. Step 3: Cross multiply
    570,327.66x = 786,969.78 × 315,678.24
  4. Step 4: Simplify right side
    570,327.66x = 248,429,235,083.59
  5. Step 5: Solve for x
    x = 248,429,235,083.59/570,327.66
  6. Step 6: Final answer
    x = 435,590.37

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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.