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Finding the Fourth Proportional to 645,210, 890,389.80 and 362,586

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Solution

The fourth proportional to 645,210, 890,389.80 and 362,586 is: 500,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,210 : 890,389.80 = 362,586 : x
  2. Step 2: Convert to fraction form
    645,210/890,389.80 = 362,586/x
  3. Step 3: Cross multiply
    645,210x = 890,389.80 × 362,586
  4. Step 4: Simplify right side
    645,210x = 322,842,876,022.80
  5. Step 5: Solve for x
    x = 322,842,876,022.80/645,210
  6. Step 6: Final answer
    x = 500,368.68

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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.