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Finding the Fourth Proportional to 535,310.64, 803,039.40 and 310,776.48

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Solution

The fourth proportional to 535,310.64, 803,039.40 and 310,776.48 is: 466,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,310.64 : 803,039.40 = 310,776.48 : x
  2. Step 2: Convert to fraction form
    535,310.64/803,039.40 = 310,776.48/x
  3. Step 3: Cross multiply
    535,310.64x = 803,039.40 × 310,776.48
  4. Step 4: Simplify right side
    535,310.64x = 249,565,758,033.31
  5. Step 5: Solve for x
    x = 249,565,758,033.31/535,310.64
  6. Step 6: Final answer
    x = 466,207.36

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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.