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Finding the Fourth Proportional to 470,405.84, 705,583.24 and 442,667.40

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Solution

The fourth proportional to 470,405.84, 705,583.24 and 442,667.40 is: 663,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,405.84 : 705,583.24 = 442,667.40 : x
  2. Step 2: Convert to fraction form
    470,405.84/705,583.24 = 442,667.40/x
  3. Step 3: Cross multiply
    470,405.84x = 705,583.24 × 442,667.40
  4. Step 4: Simplify right side
    470,405.84x = 312,338,698,334.38
  5. Step 5: Solve for x
    x = 312,338,698,334.38/470,405.84
  6. Step 6: Final answer
    x = 663,977.08

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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.