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Finding the Fourth Proportional to 516,234.52, 712,295.65 and 312,245.51

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Solution

The fourth proportional to 516,234.52, 712,295.65 and 312,245.51 is: 430,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,234.52 : 712,295.65 = 312,245.51 : x
  2. Step 2: Convert to fraction form
    516,234.52/712,295.65 = 312,245.51/x
  3. Step 3: Cross multiply
    516,234.52x = 712,295.65 × 312,245.51
  4. Step 4: Simplify right side
    516,234.52x = 222,411,116,459.00
  5. Step 5: Solve for x
    x = 222,411,116,459.00/516,234.52
  6. Step 6: Final answer
    x = 430,833.49

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1.5x scale

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.