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Finding the Fourth Proportional to 296,755.76, 409,296.96 and 255,433.08

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Solution

The fourth proportional to 296,755.76, 409,296.96 and 255,433.08 is: 352,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,755.76 : 409,296.96 = 255,433.08 : x
  2. Step 2: Convert to fraction form
    296,755.76/409,296.96 = 255,433.08/x
  3. Step 3: Cross multiply
    296,755.76x = 409,296.96 × 255,433.08
  4. Step 4: Simplify right side
    296,755.76x = 104,547,983,127.44
  5. Step 5: Solve for x
    x = 104,547,983,127.44/296,755.76
  6. Step 6: Final answer
    x = 352,303.13

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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.