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Finding the Fourth Proportional to 583,400, 805,092.72 and 315,128

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Solution

The fourth proportional to 583,400, 805,092.72 and 315,128 is: 434,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,400 : 805,092.72 = 315,128 : x
  2. Step 2: Convert to fraction form
    583,400/805,092.72 = 315,128/x
  3. Step 3: Cross multiply
    583,400x = 805,092.72 × 315,128
  4. Step 4: Simplify right side
    583,400x = 253,707,258,668.16
  5. Step 5: Solve for x
    x = 253,707,258,668.16/583,400
  6. Step 6: Final answer
    x = 434,877.03

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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.