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Finding the Fourth Proportional to 342,947.40, 514,421.10 and 295,708.20

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Solution

The fourth proportional to 342,947.40, 514,421.10 and 295,708.20 is: 443,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,947.40 : 514,421.10 = 295,708.20 : x
  2. Step 2: Convert to fraction form
    342,947.40/514,421.10 = 295,708.20/x
  3. Step 3: Cross multiply
    342,947.40x = 514,421.10 × 295,708.20
  4. Step 4: Simplify right side
    342,947.40x = 152,118,537,523.02
  5. Step 5: Solve for x
    x = 152,118,537,523.02/342,947.40
  6. Step 6: Final answer
    x = 443,562.30

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1.5x scale

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.