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Finding the Fourth Proportional to 309,063.56, 426,459 and 180,023.28

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Solution

The fourth proportional to 309,063.56, 426,459 and 180,023.28 is: 248,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,063.56 : 426,459 = 180,023.28 : x
  2. Step 2: Convert to fraction form
    309,063.56/426,459 = 180,023.28/x
  3. Step 3: Cross multiply
    309,063.56x = 426,459 × 180,023.28
  4. Step 4: Simplify right side
    309,063.56x = 76,772,547,965.52
  5. Step 5: Solve for x
    x = 76,772,547,965.52/309,063.56
  6. Step 6: Final answer
    x = 248,403.75

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1.5x scale

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.