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Finding the Fourth Proportional to 516,822.64, 713,158.16 and 310,080.07

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Solution

The fourth proportional to 516,822.64, 713,158.16 and 310,080.07 is: 427,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,822.64 : 713,158.16 = 310,080.07 : x
  2. Step 2: Convert to fraction form
    516,822.64/713,158.16 = 310,080.07/x
  3. Step 3: Cross multiply
    516,822.64x = 713,158.16 × 310,080.07
  4. Step 4: Simplify right side
    516,822.64x = 221,136,128,608.08
  5. Step 5: Solve for x
    x = 221,136,128,608.08/516,822.64
  6. Step 6: Final answer
    x = 427,876.24

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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.