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Finding the Fourth Proportional to 313,826.80, 470,740.20 and 103,437.40

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Solution

The fourth proportional to 313,826.80, 470,740.20 and 103,437.40 is: 155,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,826.80 : 470,740.20 = 103,437.40 : x
  2. Step 2: Convert to fraction form
    313,826.80/470,740.20 = 103,437.40/x
  3. Step 3: Cross multiply
    313,826.80x = 470,740.20 × 103,437.40
  4. Step 4: Simplify right side
    313,826.80x = 48,692,142,363.48
  5. Step 5: Solve for x
    x = 48,692,142,363.48/313,826.80
  6. Step 6: Final answer
    x = 155,156.10

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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.