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Finding the Fourth Proportional to 498,518.55, 687,931.79 and 283,638.51

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Solution

The fourth proportional to 498,518.55, 687,931.79 and 283,638.51 is: 391,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,518.55 : 687,931.79 = 283,638.51 : x
  2. Step 2: Convert to fraction form
    498,518.55/687,931.79 = 283,638.51/x
  3. Step 3: Cross multiply
    498,518.55x = 687,931.79 × 283,638.51
  4. Step 4: Simplify right side
    498,518.55x = 195,123,946,479.04
  5. Step 5: Solve for x
    x = 195,123,946,479.04/498,518.55
  6. Step 6: Final answer
    x = 391,407.59

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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.