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Finding the Fourth Proportional to 583,455.86, 805,318.90 and 380,013.74

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Solution

The fourth proportional to 583,455.86, 805,318.90 and 380,013.74 is: 524,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,455.86 : 805,318.90 = 380,013.74 : x
  2. Step 2: Convert to fraction form
    583,455.86/805,318.90 = 380,013.74/x
  3. Step 3: Cross multiply
    583,455.86x = 805,318.90 × 380,013.74
  4. Step 4: Simplify right side
    583,455.86x = 306,032,247,081.69
  5. Step 5: Solve for x
    x = 306,032,247,081.69/583,455.86
  6. Step 6: Final answer
    x = 524,516.54

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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.