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Finding the Fourth Proportional to 645,218, 890,400.84 and 362,594

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Solution

The fourth proportional to 645,218, 890,400.84 and 362,594 is: 500,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,218 : 890,400.84 = 362,594 : x
  2. Step 2: Convert to fraction form
    645,218/890,400.84 = 362,594/x
  3. Step 3: Cross multiply
    645,218x = 890,400.84 × 362,594
  4. Step 4: Simplify right side
    645,218x = 322,854,002,178.96
  5. Step 5: Solve for x
    x = 322,854,002,178.96/645,218
  6. Step 6: Final answer
    x = 500,379.72

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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.