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Finding the Fourth Proportional to 316,543.20, 474,814.80 and 106,130.40

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Solution

The fourth proportional to 316,543.20, 474,814.80 and 106,130.40 is: 159,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,543.20 : 474,814.80 = 106,130.40 : x
  2. Step 2: Convert to fraction form
    316,543.20/474,814.80 = 106,130.40/x
  3. Step 3: Cross multiply
    316,543.20x = 474,814.80 × 106,130.40
  4. Step 4: Simplify right side
    316,543.20x = 50,392,284,649.92
  5. Step 5: Solve for x
    x = 50,392,284,649.92/316,543.20
  6. Step 6: Final answer
    x = 159,195.60

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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.