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Finding the Fourth Proportional to 420,995.16, 581,139.54 and 259,915.32

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Solution

The fourth proportional to 420,995.16, 581,139.54 and 259,915.32 is: 358,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,995.16 : 581,139.54 = 259,915.32 : x
  2. Step 2: Convert to fraction form
    420,995.16/581,139.54 = 259,915.32/x
  3. Step 3: Cross multiply
    420,995.16x = 581,139.54 × 259,915.32
  4. Step 4: Simplify right side
    420,995.16x = 151,047,069,503.75
  5. Step 5: Solve for x
    x = 151,047,069,503.75/420,995.16
  6. Step 6: Final answer
    x = 358,785.76

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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.