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Finding the Fourth Proportional to 523,318.32, 722,291.84 and 319,325.55

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Solution

The fourth proportional to 523,318.32, 722,291.84 and 319,325.55 is: 440,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,318.32 : 722,291.84 = 319,325.55 : x
  2. Step 2: Convert to fraction form
    523,318.32/722,291.84 = 319,325.55/x
  3. Step 3: Cross multiply
    523,318.32x = 722,291.84 × 319,325.55
  4. Step 4: Simplify right side
    523,318.32x = 230,646,239,068.51
  5. Step 5: Solve for x
    x = 230,646,239,068.51/523,318.32
  6. Step 6: Final answer
    x = 440,737.94

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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.