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Finding the Fourth Proportional to 656,590.94, 906,095.45 and 354,784.94

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Solution

The fourth proportional to 656,590.94, 906,095.45 and 354,784.94 is: 489,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,590.94 : 906,095.45 = 354,784.94 : x
  2. Step 2: Convert to fraction form
    656,590.94/906,095.45 = 354,784.94/x
  3. Step 3: Cross multiply
    656,590.94x = 906,095.45 × 354,784.94
  4. Step 4: Simplify right side
    656,590.94x = 321,469,013,558.12
  5. Step 5: Solve for x
    x = 321,469,013,558.12/656,590.94
  6. Step 6: Final answer
    x = 489,603.19

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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.