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Finding the Fourth Proportional to 509,193.84, 702,709.80 and 282,839.40

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Solution

The fourth proportional to 509,193.84, 702,709.80 and 282,839.40 is: 390,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,193.84 : 702,709.80 = 282,839.40 : x
  2. Step 2: Convert to fraction form
    509,193.84/702,709.80 = 282,839.40/x
  3. Step 3: Cross multiply
    509,193.84x = 702,709.80 × 282,839.40
  4. Step 4: Simplify right side
    509,193.84x = 198,754,018,206.12
  5. Step 5: Solve for x
    x = 198,754,018,206.12/509,193.84
  6. Step 6: Final answer
    x = 390,330.76

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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.