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Finding the Fourth Proportional to 419,047.10, 578,345.94 and 235,306.29

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Solution

The fourth proportional to 419,047.10, 578,345.94 and 235,306.29 is: 324,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,047.10 : 578,345.94 = 235,306.29 : x
  2. Step 2: Convert to fraction form
    419,047.10/578,345.94 = 235,306.29/x
  3. Step 3: Cross multiply
    419,047.10x = 578,345.94 × 235,306.29
  4. Step 4: Simplify right side
    419,047.10x = 136,088,439,646.76
  5. Step 5: Solve for x
    x = 136,088,439,646.76/419,047.10
  6. Step 6: Final answer
    x = 324,756.91

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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.