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Finding the Fourth Proportional to 506,534.54, 699,034.94 and 288,775.42

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Solution

The fourth proportional to 506,534.54, 699,034.94 and 288,775.42 is: 398,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,534.54 : 699,034.94 = 288,775.42 : x
  2. Step 2: Convert to fraction form
    506,534.54/699,034.94 = 288,775.42/x
  3. Step 3: Cross multiply
    506,534.54x = 699,034.94 × 288,775.42
  4. Step 4: Simplify right side
    506,534.54x = 201,864,108,393.18
  5. Step 5: Solve for x
    x = 201,864,108,393.18/506,534.54
  6. Step 6: Final answer
    x = 398,519.93

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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.