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Finding the Fourth Proportional to 284,585.12, 392,728.68 and 155,526.16

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Solution

The fourth proportional to 284,585.12, 392,728.68 and 155,526.16 is: 214,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,585.12 : 392,728.68 = 155,526.16 : x
  2. Step 2: Convert to fraction form
    284,585.12/392,728.68 = 155,526.16/x
  3. Step 3: Cross multiply
    284,585.12x = 392,728.68 × 155,526.16
  4. Step 4: Simplify right side
    284,585.12x = 61,079,583,522.27
  5. Step 5: Solve for x
    x = 61,079,583,522.27/284,585.12
  6. Step 6: Final answer
    x = 214,626.76

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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.