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Finding the Fourth Proportional to 645,597.74, 890,931.71 and 355,213.12

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Solution

The fourth proportional to 645,597.74, 890,931.71 and 355,213.12 is: 490,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,597.74 : 890,931.71 = 355,213.12 : x
  2. Step 2: Convert to fraction form
    645,597.74/890,931.71 = 355,213.12/x
  3. Step 3: Cross multiply
    645,597.74x = 890,931.71 × 355,213.12
  4. Step 4: Simplify right side
    645,597.74x = 316,470,626,185.31
  5. Step 5: Solve for x
    x = 316,470,626,185.31/645,597.74
  6. Step 6: Final answer
    x = 490,197.86

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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.