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Finding the Fourth Proportional to 507,655.92, 700,476.36 and 289,765.12

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Solution

The fourth proportional to 507,655.92, 700,476.36 and 289,765.12 is: 399,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,655.92 : 700,476.36 = 289,765.12 : x
  2. Step 2: Convert to fraction form
    507,655.92/700,476.36 = 289,765.12/x
  3. Step 3: Cross multiply
    507,655.92x = 700,476.36 × 289,765.12
  4. Step 4: Simplify right side
    507,655.92x = 202,973,616,512.56
  5. Step 5: Solve for x
    x = 202,973,616,512.56/507,655.92
  6. Step 6: Final answer
    x = 399,825.17

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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.