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Finding the Fourth Proportional to 515,946.24, 711,966.75 and 289,548

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Solution

The fourth proportional to 515,946.24, 711,966.75 and 289,548 is: 399,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,946.24 : 711,966.75 = 289,548 : x
  2. Step 2: Convert to fraction form
    515,946.24/711,966.75 = 289,548/x
  3. Step 3: Cross multiply
    515,946.24x = 711,966.75 × 289,548
  4. Step 4: Simplify right side
    515,946.24x = 206,148,548,529
  5. Step 5: Solve for x
    x = 206,148,548,529/515,946.24
  6. Step 6: Final answer
    x = 399,554.32

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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.