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Finding the Fourth Proportional to 542,847.79, 749,017.77 and 313,401.10

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Solution

The fourth proportional to 542,847.79, 749,017.77 and 313,401.10 is: 432,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,847.79 : 749,017.77 = 313,401.10 : x
  2. Step 2: Convert to fraction form
    542,847.79/749,017.77 = 313,401.10/x
  3. Step 3: Cross multiply
    542,847.79x = 749,017.77 × 313,401.10
  4. Step 4: Simplify right side
    542,847.79x = 234,742,993,037.55
  5. Step 5: Solve for x
    x = 234,742,993,037.55/542,847.79
  6. Step 6: Final answer
    x = 432,428.75

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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.