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Finding the Fourth Proportional to 712,404.60, 983,124.13 and 422,032.68

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Solution

The fourth proportional to 712,404.60, 983,124.13 and 422,032.68 is: 582,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,404.60 : 983,124.13 = 422,032.68 : x
  2. Step 2: Convert to fraction form
    712,404.60/983,124.13 = 422,032.68/x
  3. Step 3: Cross multiply
    712,404.60x = 983,124.13 × 422,032.68
  4. Step 4: Simplify right side
    712,404.60x = 414,910,506,440.95
  5. Step 5: Solve for x
    x = 414,910,506,440.95/712,404.60
  6. Step 6: Final answer
    x = 582,408.52

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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.