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Finding the Fourth Proportional to 254,898.71, 382,348.67 and 77,407.05

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Solution

The fourth proportional to 254,898.71, 382,348.67 and 77,407.05 is: 116,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,898.71 : 382,348.67 = 77,407.05 : x
  2. Step 2: Convert to fraction form
    254,898.71/382,348.67 = 77,407.05/x
  3. Step 3: Cross multiply
    254,898.71x = 382,348.67 × 77,407.05
  4. Step 4: Simplify right side
    254,898.71x = 29,596,482,616.12
  5. Step 5: Solve for x
    x = 29,596,482,616.12/254,898.71
  6. Step 6: Final answer
    x = 116,110.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.