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Finding the Fourth Proportional to 564,148.30, 778,544.83 and 309,506.86

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Solution

The fourth proportional to 564,148.30, 778,544.83 and 309,506.86 is: 427,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,148.30 : 778,544.83 = 309,506.86 : x
  2. Step 2: Convert to fraction form
    564,148.30/778,544.83 = 309,506.86/x
  3. Step 3: Cross multiply
    564,148.30x = 778,544.83 × 309,506.86
  4. Step 4: Simplify right side
    564,148.30x = 240,964,965,702.53
  5. Step 5: Solve for x
    x = 240,964,965,702.53/564,148.30
  6. Step 6: Final answer
    x = 427,130.54

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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.