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Finding the Fourth Proportional to 385,416.80, 577,779.60 and 343,426.40

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Solution

The fourth proportional to 385,416.80, 577,779.60 and 343,426.40 is: 514,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,416.80 : 577,779.60 = 343,426.40 : x
  2. Step 2: Convert to fraction form
    385,416.80/577,779.60 = 343,426.40/x
  3. Step 3: Cross multiply
    385,416.80x = 577,779.60 × 343,426.40
  4. Step 4: Simplify right side
    385,416.80x = 198,424,768,021.44
  5. Step 5: Solve for x
    x = 198,424,768,021.44/385,416.80
  6. Step 6: Final answer
    x = 514,831.65

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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.