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Finding the Fourth Proportional to 462,509.12, 638,267.32 and 258,571.37

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Solution

The fourth proportional to 462,509.12, 638,267.32 and 258,571.37 is: 356,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,509.12 : 638,267.32 = 258,571.37 : x
  2. Step 2: Convert to fraction form
    462,509.12/638,267.32 = 258,571.37/x
  3. Step 3: Cross multiply
    462,509.12x = 638,267.32 × 258,571.37
  4. Step 4: Simplify right side
    462,509.12x = 165,037,655,358.63
  5. Step 5: Solve for x
    x = 165,037,655,358.63/462,509.12
  6. Step 6: Final answer
    x = 356,831.14

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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.