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Finding the Fourth Proportional to 313,897.70, 470,875.35 and 103,536.10

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Solution

The fourth proportional to 313,897.70, 470,875.35 and 103,536.10 is: 155,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,897.70 : 470,875.35 = 103,536.10 : x
  2. Step 2: Convert to fraction form
    313,897.70/470,875.35 = 103,536.10/x
  3. Step 3: Cross multiply
    313,897.70x = 470,875.35 × 103,536.10
  4. Step 4: Simplify right side
    313,897.70x = 48,752,597,325.14
  5. Step 5: Solve for x
    x = 48,752,597,325.14/313,897.70
  6. Step 6: Final answer
    x = 155,313.65

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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.