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Finding the Fourth Proportional to 645,469.84, 890,779.94 and 358,983.78

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Solution

The fourth proportional to 645,469.84, 890,779.94 and 358,983.78 is: 495,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,469.84 : 890,779.94 = 358,983.78 : x
  2. Step 2: Convert to fraction form
    645,469.84/890,779.94 = 358,983.78/x
  3. Step 3: Cross multiply
    645,469.84x = 890,779.94 × 358,983.78
  4. Step 4: Simplify right side
    645,469.84x = 319,775,550,009.37
  5. Step 5: Solve for x
    x = 319,775,550,009.37/645,469.84
  6. Step 6: Final answer
    x = 495,415.17

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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.