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Finding the Fourth Proportional to 535,646.32, 803,516.64 and 198,690.64

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Solution

The fourth proportional to 535,646.32, 803,516.64 and 198,690.64 is: 298,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,646.32 : 803,516.64 = 198,690.64 : x
  2. Step 2: Convert to fraction form
    535,646.32/803,516.64 = 198,690.64/x
  3. Step 3: Cross multiply
    535,646.32x = 803,516.64 × 198,690.64
  4. Step 4: Simplify right side
    535,646.32x = 159,651,235,452.25
  5. Step 5: Solve for x
    x = 159,651,235,452.25/535,646.32
  6. Step 6: Final answer
    x = 298,053.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.