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Finding the Fourth Proportional to 506,605, 699,054.42 and 280,219.72

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Solution

The fourth proportional to 506,605, 699,054.42 and 280,219.72 is: 386,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,605 : 699,054.42 = 280,219.72 : x
  2. Step 2: Convert to fraction form
    506,605/699,054.42 = 280,219.72/x
  3. Step 3: Cross multiply
    506,605x = 699,054.42 × 280,219.72
  4. Step 4: Simplify right side
    506,605x = 195,888,833,837.16
  5. Step 5: Solve for x
    x = 195,888,833,837.16/506,605
  6. Step 6: Final answer
    x = 386,669.76

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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.