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Finding the Fourth Proportional to 543,457.32, 749,992.68 and 314,007

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Solution

The fourth proportional to 543,457.32, 749,992.68 and 314,007 is: 433,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,457.32 : 749,992.68 = 314,007 : x
  2. Step 2: Convert to fraction form
    543,457.32/749,992.68 = 314,007/x
  3. Step 3: Cross multiply
    543,457.32x = 749,992.68 × 314,007
  4. Step 4: Simplify right side
    543,457.32x = 235,502,951,468.76
  5. Step 5: Solve for x
    x = 235,502,951,468.76/543,457.32
  6. Step 6: Final answer
    x = 433,342.13

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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.