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Finding the Fourth Proportional to 506,806.60, 699,384.18 and 291,946

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Solution

The fourth proportional to 506,806.60, 699,384.18 and 291,946 is: 402,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,806.60 : 699,384.18 = 291,946 : x
  2. Step 2: Convert to fraction form
    506,806.60/699,384.18 = 291,946/x
  3. Step 3: Cross multiply
    506,806.60x = 699,384.18 × 291,946
  4. Step 4: Simplify right side
    506,806.60x = 204,182,413,814.28
  5. Step 5: Solve for x
    x = 204,182,413,814.28/506,806.60
  6. Step 6: Final answer
    x = 402,880.34

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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.