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Finding the Fourth Proportional to 509,655.24, 703,337.76 and 280,222.20

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Solution

The fourth proportional to 509,655.24, 703,337.76 and 280,222.20 is: 386,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,655.24 : 703,337.76 = 280,222.20 : x
  2. Step 2: Convert to fraction form
    509,655.24/703,337.76 = 280,222.20/x
  3. Step 3: Cross multiply
    509,655.24x = 703,337.76 × 280,222.20
  4. Step 4: Simplify right side
    509,655.24x = 197,090,854,450.27
  5. Step 5: Solve for x
    x = 197,090,854,450.27/509,655.24
  6. Step 6: Final answer
    x = 386,714.07

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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.