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Finding the Fourth Proportional to 310,130.42, 465,289.01 and 96,889.71

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Solution

The fourth proportional to 310,130.42, 465,289.01 and 96,889.71 is: 145,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,130.42 : 465,289.01 = 96,889.71 : x
  2. Step 2: Convert to fraction form
    310,130.42/465,289.01 = 96,889.71/x
  3. Step 3: Cross multiply
    310,130.42x = 465,289.01 × 96,889.71
  4. Step 4: Simplify right side
    310,130.42x = 45,081,716,760.64
  5. Step 5: Solve for x
    x = 45,081,716,760.64/310,130.42
  6. Step 6: Final answer
    x = 145,363.74

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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.