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Finding the Fourth Proportional to 515,347.30, 711,198.28 and 311,358.81

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Solution

The fourth proportional to 515,347.30, 711,198.28 and 311,358.81 is: 429,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,347.30 : 711,198.28 = 311,358.81 : x
  2. Step 2: Convert to fraction form
    515,347.30/711,198.28 = 311,358.81/x
  3. Step 3: Cross multiply
    515,347.30x = 711,198.28 × 311,358.81
  4. Step 4: Simplify right side
    515,347.30x = 221,437,849,940.25
  5. Step 5: Solve for x
    x = 221,437,849,940.25/515,347.30
  6. Step 6: Final answer
    x = 429,686.64

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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.