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Finding the Fourth Proportional to 257,484.49, 385,728.55 and 144,822.40

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Solution

The fourth proportional to 257,484.49, 385,728.55 and 144,822.40 is: 216,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,484.49 : 385,728.55 = 144,822.40 : x
  2. Step 2: Convert to fraction form
    257,484.49/385,728.55 = 144,822.40/x
  3. Step 3: Cross multiply
    257,484.49x = 385,728.55 × 144,822.40
  4. Step 4: Simplify right side
    257,484.49x = 55,862,133,033.14
  5. Step 5: Solve for x
    x = 55,862,133,033.14/257,484.49
  6. Step 6: Final answer
    x = 216,953.39

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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.