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Finding the Fourth Proportional to 709,441.41, 977,365.67 and 494,192.01

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Solution

The fourth proportional to 709,441.41, 977,365.67 and 494,192.01 is: 680,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,441.41 : 977,365.67 = 494,192.01 : x
  2. Step 2: Convert to fraction form
    709,441.41/977,365.67 = 494,192.01/x
  3. Step 3: Cross multiply
    709,441.41x = 977,365.67 × 494,192.01
  4. Step 4: Simplify right side
    709,441.41x = 483,006,302,491.34
  5. Step 5: Solve for x
    x = 483,006,302,491.34/709,441.41
  6. Step 6: Final answer
    x = 680,826.20

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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.