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Finding the Fourth Proportional to 709,510.60, 979,133.70 and 419,131.72

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Solution

The fourth proportional to 709,510.60, 979,133.70 and 419,131.72 is: 578,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,510.60 : 979,133.70 = 419,131.72 : x
  2. Step 2: Convert to fraction form
    709,510.60/979,133.70 = 419,131.72/x
  3. Step 3: Cross multiply
    709,510.60x = 979,133.70 × 419,131.72
  4. Step 4: Simplify right side
    709,510.60x = 410,385,991,790.96
  5. Step 5: Solve for x
    x = 410,385,991,790.96/709,510.60
  6. Step 6: Final answer
    x = 578,407.13

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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.