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Finding the Fourth Proportional to 310,010.13, 427,818.65 and 299,282.85

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Solution

The fourth proportional to 310,010.13, 427,818.65 and 299,282.85 is: 413,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,010.13 : 427,818.65 = 299,282.85 : x
  2. Step 2: Convert to fraction form
    310,010.13/427,818.65 = 299,282.85/x
  3. Step 3: Cross multiply
    310,010.13x = 427,818.65 × 299,282.85
  4. Step 4: Simplify right side
    310,010.13x = 128,038,783,358.74
  5. Step 5: Solve for x
    x = 128,038,783,358.74/310,010.13
  6. Step 6: Final answer
    x = 413,014.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.