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Finding the Fourth Proportional to 284,315.78, 392,345.50 and 156,988.64

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Solution

The fourth proportional to 284,315.78, 392,345.50 and 156,988.64 is: 216,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,315.78 : 392,345.50 = 156,988.64 : x
  2. Step 2: Convert to fraction form
    284,315.78/392,345.50 = 156,988.64/x
  3. Step 3: Cross multiply
    284,315.78x = 392,345.50 × 156,988.64
  4. Step 4: Simplify right side
    284,315.78x = 61,593,786,455.12
  5. Step 5: Solve for x
    x = 61,593,786,455.12/284,315.78
  6. Step 6: Final answer
    x = 216,638.65

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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.