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Finding the Fourth Proportional to 284,313.64, 392,347.68 and 156,986.50

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Solution

The fourth proportional to 284,313.64, 392,347.68 and 156,986.50 is: 216,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,313.64 : 392,347.68 = 156,986.50 : x
  2. Step 2: Convert to fraction form
    284,313.64/392,347.68 = 156,986.50/x
  3. Step 3: Cross multiply
    284,313.64x = 392,347.68 × 156,986.50
  4. Step 4: Simplify right side
    284,313.64x = 61,593,289,066.32
  5. Step 5: Solve for x
    x = 61,593,289,066.32/284,313.64
  6. Step 6: Final answer
    x = 216,638.53

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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.