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Finding the Fourth Proportional to 709,443.29, 977,368.25 and 494,193.89

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Solution

The fourth proportional to 709,443.29, 977,368.25 and 494,193.89 is: 680,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,443.29 : 977,368.25 = 494,193.89 : x
  2. Step 2: Convert to fraction form
    709,443.29/977,368.25 = 494,193.89/x
  3. Step 3: Cross multiply
    709,443.29x = 977,368.25 × 494,193.89
  4. Step 4: Simplify right side
    709,443.29x = 483,009,417,429.99
  5. Step 5: Solve for x
    x = 483,009,417,429.99/709,443.29
  6. Step 6: Final answer
    x = 680,828.79

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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.