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Finding the Fourth Proportional to 506,669.80, 699,199.14 and 280,316.92

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Solution

The fourth proportional to 506,669.80, 699,199.14 and 280,316.92 is: 386,834.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,669.80 : 699,199.14 = 280,316.92 : x
  2. Step 2: Convert to fraction form
    506,669.80/699,199.14 = 280,316.92/x
  3. Step 3: Cross multiply
    506,669.80x = 699,199.14 × 280,316.92
  4. Step 4: Simplify right side
    506,669.80x = 195,997,349,391.45
  5. Step 5: Solve for x
    x = 195,997,349,391.45/506,669.80
  6. Step 6: Final answer
    x = 386,834.48

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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.