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Finding the Fourth Proportional to 771,808.80, 1,157,324.40 and 456,362.40

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Solution

The fourth proportional to 771,808.80, 1,157,324.40 and 456,362.40 is: 684,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,808.80 : 1,157,324.40 = 456,362.40 : x
  2. Step 2: Convert to fraction form
    771,808.80/1,157,324.40 = 456,362.40/x
  3. Step 3: Cross multiply
    771,808.80x = 1,157,324.40 × 456,362.40
  4. Step 4: Simplify right side
    771,808.80x = 528,159,340,762.56
  5. Step 5: Solve for x
    x = 528,159,340,762.56/771,808.80
  6. Step 6: Final answer
    x = 684,313.71

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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.