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Finding the Fourth Proportional to 509,192.84, 702,708.36 and 282,838.34

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Solution

The fourth proportional to 509,192.84, 702,708.36 and 282,838.34 is: 390,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,192.84 : 702,708.36 = 282,838.34 : x
  2. Step 2: Convert to fraction form
    509,192.84/702,708.36 = 282,838.34/x
  3. Step 3: Cross multiply
    509,192.84x = 702,708.36 × 282,838.34
  4. Step 4: Simplify right side
    509,192.84x = 198,752,866,046.52
  5. Step 5: Solve for x
    x = 198,752,866,046.52/509,192.84
  6. Step 6: Final answer
    x = 390,329.26

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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.