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Finding the Fourth Proportional to 354,050.28, 530,864.70 and 140,702.76

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Solution

The fourth proportional to 354,050.28, 530,864.70 and 140,702.76 is: 210,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,050.28 : 530,864.70 = 140,702.76 : x
  2. Step 2: Convert to fraction form
    354,050.28/530,864.70 = 140,702.76/x
  3. Step 3: Cross multiply
    354,050.28x = 530,864.70 × 140,702.76
  4. Step 4: Simplify right side
    354,050.28x = 74,694,128,476.57
  5. Step 5: Solve for x
    x = 74,694,128,476.57/354,050.28
  6. Step 6: Final answer
    x = 210,970.40

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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.