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Finding the Fourth Proportional to 559,185.76, 771,698.19 and 317,490.82

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Solution

The fourth proportional to 559,185.76, 771,698.19 and 317,490.82 is: 438,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,185.76 : 771,698.19 = 317,490.82 : x
  2. Step 2: Convert to fraction form
    559,185.76/771,698.19 = 317,490.82/x
  3. Step 3: Cross multiply
    559,185.76x = 771,698.19 × 317,490.82
  4. Step 4: Simplify right side
    559,185.76x = 245,007,094,737.76
  5. Step 5: Solve for x
    x = 245,007,094,737.76/559,185.76
  6. Step 6: Final answer
    x = 438,149.74

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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.