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Finding the Fourth Proportional to 502,149.34, 692,765.76 and 320,814.28

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Solution

The fourth proportional to 502,149.34, 692,765.76 and 320,814.28 is: 442,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,149.34 : 692,765.76 = 320,814.28 : x
  2. Step 2: Convert to fraction form
    502,149.34/692,765.76 = 320,814.28/x
  3. Step 3: Cross multiply
    502,149.34x = 692,765.76 × 320,814.28
  4. Step 4: Simplify right side
    502,149.34x = 222,249,148,503.05
  5. Step 5: Solve for x
    x = 222,249,148,503.05/502,149.34
  6. Step 6: Final answer
    x = 442,595.72

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1.5x scale

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.