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Finding the Fourth Proportional to 645,746, 891,137.64 and 355,390.98

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Solution

The fourth proportional to 645,746, 891,137.64 and 355,390.98 is: 490,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,746 : 891,137.64 = 355,390.98 : x
  2. Step 2: Convert to fraction form
    645,746/891,137.64 = 355,390.98/x
  3. Step 3: Cross multiply
    645,746x = 891,137.64 × 355,390.98
  4. Step 4: Simplify right side
    645,746x = 316,702,279,194.49
  5. Step 5: Solve for x
    x = 316,702,279,194.49/645,746
  6. Step 6: Final answer
    x = 490,444.04

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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.