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Finding the Fourth Proportional to 284,715.81, 392,895.63 and 155,651.90

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Solution

The fourth proportional to 284,715.81, 392,895.63 and 155,651.90 is: 214,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,715.81 : 392,895.63 = 155,651.90 : x
  2. Step 2: Convert to fraction form
    284,715.81/392,895.63 = 155,651.90/x
  3. Step 3: Cross multiply
    284,715.81x = 392,895.63 × 155,651.90
  4. Step 4: Simplify right side
    284,715.81x = 61,154,949,346.72
  5. Step 5: Solve for x
    x = 61,154,949,346.72/284,715.81
  6. Step 6: Final answer
    x = 214,792.95

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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.