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Finding the Fourth Proportional to 509,330.63, 702,898.14 and 282,976.13

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Solution

The fourth proportional to 509,330.63, 702,898.14 and 282,976.13 is: 390,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,330.63 : 702,898.14 = 282,976.13 : x
  2. Step 2: Convert to fraction form
    509,330.63/702,898.14 = 282,976.13/x
  3. Step 3: Cross multiply
    509,330.63x = 702,898.14 × 282,976.13
  4. Step 4: Simplify right side
    509,330.63x = 198,903,391,926.91
  5. Step 5: Solve for x
    x = 198,903,391,926.91/509,330.63
  6. Step 6: Final answer
    x = 390,519.21

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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.