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Finding the Fourth Proportional to 331,547, 457,534.86 and 180,644

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Solution

The fourth proportional to 331,547, 457,534.86 and 180,644 is: 249,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,547 : 457,534.86 = 180,644 : x
  2. Step 2: Convert to fraction form
    331,547/457,534.86 = 180,644/x
  3. Step 3: Cross multiply
    331,547x = 457,534.86 × 180,644
  4. Step 4: Simplify right side
    331,547x = 82,650,927,249.84
  5. Step 5: Solve for x
    x = 82,650,927,249.84/331,547
  6. Step 6: Final answer
    x = 249,288.72

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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.