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Finding the Fourth Proportional to 284,396.12, 392,459.12 and 157,068.96

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Solution

The fourth proportional to 284,396.12, 392,459.12 and 157,068.96 is: 216,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,396.12 : 392,459.12 = 157,068.96 : x
  2. Step 2: Convert to fraction form
    284,396.12/392,459.12 = 157,068.96/x
  3. Step 3: Cross multiply
    284,396.12x = 392,459.12 × 157,068.96
  4. Step 4: Simplify right side
    284,396.12x = 61,643,145,820.92
  5. Step 5: Solve for x
    x = 61,643,145,820.92/284,396.12
  6. Step 6: Final answer
    x = 216,751.01

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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.