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Finding the Fourth Proportional to 614,428.80, 922,226.40 and 525,782.40

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Solution

The fourth proportional to 614,428.80, 922,226.40 and 525,782.40 is: 789,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,428.80 : 922,226.40 = 525,782.40 : x
  2. Step 2: Convert to fraction form
    614,428.80/922,226.40 = 525,782.40/x
  3. Step 3: Cross multiply
    614,428.80x = 922,226.40 × 525,782.40
  4. Step 4: Simplify right side
    614,428.80x = 484,890,409,935.36
  5. Step 5: Solve for x
    x = 484,890,409,935.36/614,428.80
  6. Step 6: Final answer
    x = 789,172.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.