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Finding the Fourth Proportional to 645,345.94, 890,598.90 and 354,969.76

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Solution

The fourth proportional to 645,345.94, 890,598.90 and 354,969.76 is: 489,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,345.94 : 890,598.90 = 354,969.76 : x
  2. Step 2: Convert to fraction form
    645,345.94/890,598.90 = 354,969.76/x
  3. Step 3: Cross multiply
    645,345.94x = 890,598.90 × 354,969.76
  4. Step 4: Simplify right side
    645,345.94x = 316,135,677,789.26
  5. Step 5: Solve for x
    x = 316,135,677,789.26/645,345.94
  6. Step 6: Final answer
    x = 489,870.10

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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.