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Finding the Fourth Proportional to 284,275.84, 425,931.84 and 171,719.52

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Solution

The fourth proportional to 284,275.84, 425,931.84 and 171,719.52 is: 257,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,275.84 : 425,931.84 = 171,719.52 : x
  2. Step 2: Convert to fraction form
    284,275.84/425,931.84 = 171,719.52/x
  3. Step 3: Cross multiply
    284,275.84x = 425,931.84 × 171,719.52
  4. Step 4: Simplify right side
    284,275.84x = 73,140,811,117.52
  5. Step 5: Solve for x
    x = 73,140,811,117.52/284,275.84
  6. Step 6: Final answer
    x = 257,288.17

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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.