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Finding the Fourth Proportional to 512,595.78, 707,403.65 and 294,804.60

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Solution

The fourth proportional to 512,595.78, 707,403.65 and 294,804.60 is: 406,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,595.78 : 707,403.65 = 294,804.60 : x
  2. Step 2: Convert to fraction form
    512,595.78/707,403.65 = 294,804.60/x
  3. Step 3: Cross multiply
    512,595.78x = 707,403.65 × 294,804.60
  4. Step 4: Simplify right side
    512,595.78x = 208,545,849,708.28
  5. Step 5: Solve for x
    x = 208,545,849,708.28/512,595.78
  6. Step 6: Final answer
    x = 406,842.70

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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.