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Finding the Fourth Proportional to 965,967, 1,333,040.40 and 530,403.16

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Solution

The fourth proportional to 965,967, 1,333,040.40 and 530,403.16 is: 731,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,967 : 1,333,040.40 = 530,403.16 : x
  2. Step 2: Convert to fraction form
    965,967/1,333,040.40 = 530,403.16/x
  3. Step 3: Cross multiply
    965,967x = 1,333,040.40 × 530,403.16
  4. Step 4: Simplify right side
    965,967x = 707,048,840,567.66
  5. Step 5: Solve for x
    x = 707,048,840,567.66/965,967
  6. Step 6: Final answer
    x = 731,959.62

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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.