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Finding the Fourth Proportional to 895,221, 1,235,404.98 and 492,813

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Solution

The fourth proportional to 895,221, 1,235,404.98 and 492,813 is: 680,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,221 : 1,235,404.98 = 492,813 : x
  2. Step 2: Convert to fraction form
    895,221/1,235,404.98 = 492,813/x
  3. Step 3: Cross multiply
    895,221x = 1,235,404.98 × 492,813
  4. Step 4: Simplify right side
    895,221x = 608,823,634,408.74
  5. Step 5: Solve for x
    x = 608,823,634,408.74/895,221
  6. Step 6: Final answer
    x = 680,081.94

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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.