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Finding the Fourth Proportional to 516,052.19, 712,152.74 and 289,699.31

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Solution

The fourth proportional to 516,052.19, 712,152.74 and 289,699.31 is: 399,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,052.19 : 712,152.74 = 289,699.31 : x
  2. Step 2: Convert to fraction form
    516,052.19/712,152.74 = 289,699.31/x
  3. Step 3: Cross multiply
    516,052.19x = 712,152.74 × 289,699.31
  4. Step 4: Simplify right side
    516,052.19x = 206,310,157,392.61
  5. Step 5: Solve for x
    x = 206,310,157,392.61/516,052.19
  6. Step 6: Final answer
    x = 399,785.45

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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.