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Finding the Fourth Proportional to 284,263.46, 392,282.48 and 156,938.14

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Solution

The fourth proportional to 284,263.46, 392,282.48 and 156,938.14 is: 216,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,263.46 : 392,282.48 = 156,938.14 : x
  2. Step 2: Convert to fraction form
    284,263.46/392,282.48 = 156,938.14/x
  3. Step 3: Cross multiply
    284,263.46x = 392,282.48 × 156,938.14
  4. Step 4: Simplify right side
    284,263.46x = 61,564,082,765.79
  5. Step 5: Solve for x
    x = 61,564,082,765.79/284,263.46
  6. Step 6: Final answer
    x = 216,574.03

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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.