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Finding the Fourth Proportional to 310,293.70, 465,440.56 and 99,931.64

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Solution

The fourth proportional to 310,293.70, 465,440.56 and 99,931.64 is: 149,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,293.70 : 465,440.56 = 99,931.64 : x
  2. Step 2: Convert to fraction form
    310,293.70/465,440.56 = 99,931.64/x
  3. Step 3: Cross multiply
    310,293.70x = 465,440.56 × 99,931.64
  4. Step 4: Simplify right side
    310,293.70x = 46,512,239,086.51
  5. Step 5: Solve for x
    x = 46,512,239,086.51/310,293.70
  6. Step 6: Final answer
    x = 149,897.46

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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.