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Finding the Fourth Proportional to 470,858.40, 705,250.80 and 418,327.20

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Solution

The fourth proportional to 470,858.40, 705,250.80 and 418,327.20 is: 626,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,858.40 : 705,250.80 = 418,327.20 : x
  2. Step 2: Convert to fraction form
    470,858.40/705,250.80 = 418,327.20/x
  3. Step 3: Cross multiply
    470,858.40x = 705,250.80 × 418,327.20
  4. Step 4: Simplify right side
    470,858.40x = 295,025,592,461.76
  5. Step 5: Solve for x
    x = 295,025,592,461.76/470,858.40
  6. Step 6: Final answer
    x = 626,569.67

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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.