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Finding the Fourth Proportional to 507,639.23, 700,453.34 and 289,748.42

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Solution

The fourth proportional to 507,639.23, 700,453.34 and 289,748.42 is: 399,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,639.23 : 700,453.34 = 289,748.42 : x
  2. Step 2: Convert to fraction form
    507,639.23/700,453.34 = 289,748.42/x
  3. Step 3: Cross multiply
    507,639.23x = 700,453.34 × 289,748.42
  4. Step 4: Simplify right side
    507,639.23x = 202,955,248,548.72
  5. Step 5: Solve for x
    x = 202,955,248,548.72/507,639.23
  6. Step 6: Final answer
    x = 399,802.14

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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.