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Finding the Fourth Proportional to 516,959.28, 713,356.74 and 299,130.30

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Solution

The fourth proportional to 516,959.28, 713,356.74 and 299,130.30 is: 412,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,959.28 : 713,356.74 = 299,130.30 : x
  2. Step 2: Convert to fraction form
    516,959.28/713,356.74 = 299,130.30/x
  3. Step 3: Cross multiply
    516,959.28x = 713,356.74 × 299,130.30
  4. Step 4: Simplify right side
    516,959.28x = 213,386,615,643.22
  5. Step 5: Solve for x
    x = 213,386,615,643.22/516,959.28
  6. Step 6: Final answer
    x = 412,772.58

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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.