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Finding the Fourth Proportional to 470,943.40, 706,415.10 and 429,609.10

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Solution

The fourth proportional to 470,943.40, 706,415.10 and 429,609.10 is: 644,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,943.40 : 706,415.10 = 429,609.10 : x
  2. Step 2: Convert to fraction form
    470,943.40/706,415.10 = 429,609.10/x
  3. Step 3: Cross multiply
    470,943.40x = 706,415.10 × 429,609.10
  4. Step 4: Simplify right side
    470,943.40x = 303,482,355,337.41
  5. Step 5: Solve for x
    x = 303,482,355,337.41/470,943.40
  6. Step 6: Final answer
    x = 644,413.65

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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.