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Finding the Fourth Proportional to 474,009.40, 711,014.10 and 442,905.40

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Solution

The fourth proportional to 474,009.40, 711,014.10 and 442,905.40 is: 664,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,009.40 : 711,014.10 = 442,905.40 : x
  2. Step 2: Convert to fraction form
    474,009.40/711,014.10 = 442,905.40/x
  3. Step 3: Cross multiply
    474,009.40x = 711,014.10 × 442,905.40
  4. Step 4: Simplify right side
    474,009.40x = 314,911,984,366.14
  5. Step 5: Solve for x
    x = 314,911,984,366.14/474,009.40
  6. Step 6: Final answer
    x = 664,358.10

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Similar ratio
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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.