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Finding the Fourth Proportional to 480,970.32, 721,448.16 and 165,429.96

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Solution

The fourth proportional to 480,970.32, 721,448.16 and 165,429.96 is: 248,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,970.32 : 721,448.16 = 165,429.96 : x
  2. Step 2: Convert to fraction form
    480,970.32/721,448.16 = 165,429.96/x
  3. Step 3: Cross multiply
    480,970.32x = 721,448.16 × 165,429.96
  4. Step 4: Simplify right side
    480,970.32x = 119,349,140,250.87
  5. Step 5: Solve for x
    x = 119,349,140,250.87/480,970.32
  6. Step 6: Final answer
    x = 248,142.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.