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Finding the Fourth Proportional to 506,569.13, 699,066.82 and 280,214.63

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Solution

The fourth proportional to 506,569.13, 699,066.82 and 280,214.63 is: 386,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,569.13 : 699,066.82 = 280,214.63 : x
  2. Step 2: Convert to fraction form
    506,569.13/699,066.82 = 280,214.63/x
  3. Step 3: Cross multiply
    506,569.13x = 699,066.82 × 280,214.63
  4. Step 4: Simplify right side
    506,569.13x = 195,888,750,311.58
  5. Step 5: Solve for x
    x = 195,888,750,311.58/506,569.13
  6. Step 6: Final answer
    x = 386,696.98

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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.