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Finding the Fourth Proportional to 559,395.86, 771,986.13 and 317,671.70

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Solution

The fourth proportional to 559,395.86, 771,986.13 and 317,671.70 is: 438,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,395.86 : 771,986.13 = 317,671.70 : x
  2. Step 2: Convert to fraction form
    559,395.86/771,986.13 = 317,671.70/x
  3. Step 3: Cross multiply
    559,395.86x = 771,986.13 × 317,671.70
  4. Step 4: Simplify right side
    559,395.86x = 245,238,146,293.52
  5. Step 5: Solve for x
    x = 245,238,146,293.52/559,395.86
  6. Step 6: Final answer
    x = 438,398.21

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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.