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Finding the Fourth Proportional to 515,114.69, 711,006.54 and 311,133.20

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Solution

The fourth proportional to 515,114.69, 711,006.54 and 311,133.20 is: 429,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,114.69 : 711,006.54 = 311,133.20 : x
  2. Step 2: Convert to fraction form
    515,114.69/711,006.54 = 311,133.20/x
  3. Step 3: Cross multiply
    515,114.69x = 711,006.54 × 311,133.20
  4. Step 4: Simplify right side
    515,114.69x = 221,217,740,011.13
  5. Step 5: Solve for x
    x = 221,217,740,011.13/515,114.69
  6. Step 6: Final answer
    x = 429,453.37

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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.