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Finding the Fourth Proportional to 470,075.40, 705,113.10 and 418,899.60

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Solution

The fourth proportional to 470,075.40, 705,113.10 and 418,899.60 is: 628,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,075.40 : 705,113.10 = 418,899.60 : x
  2. Step 2: Convert to fraction form
    470,075.40/705,113.10 = 418,899.60/x
  3. Step 3: Cross multiply
    470,075.40x = 705,113.10 × 418,899.60
  4. Step 4: Simplify right side
    470,075.40x = 295,371,595,544.76
  5. Step 5: Solve for x
    x = 295,371,595,544.76/470,075.40
  6. Step 6: Final answer
    x = 628,349.40

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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.