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Finding the Fourth Proportional to 507,491.17, 700,304.97 and 278,048.14

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Solution

The fourth proportional to 507,491.17, 700,304.97 and 278,048.14 is: 383,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,491.17 : 700,304.97 = 278,048.14 : x
  2. Step 2: Convert to fraction form
    507,491.17/700,304.97 = 278,048.14/x
  3. Step 3: Cross multiply
    507,491.17x = 700,304.97 × 278,048.14
  4. Step 4: Simplify right side
    507,491.17x = 194,718,494,341.26
  5. Step 5: Solve for x
    x = 194,718,494,341.26/507,491.17
  6. Step 6: Final answer
    x = 383,688.44

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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.