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Finding the Fourth Proportional to 640,486.52, 959,952.94 and 470,430.02

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Solution

The fourth proportional to 640,486.52, 959,952.94 and 470,430.02 is: 705,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,486.52 : 959,952.94 = 470,430.02 : x
  2. Step 2: Convert to fraction form
    640,486.52/959,952.94 = 470,430.02/x
  3. Step 3: Cross multiply
    640,486.52x = 959,952.94 × 470,430.02
  4. Step 4: Simplify right side
    640,486.52x = 451,590,680,763.26
  5. Step 5: Solve for x
    x = 451,590,680,763.26/640,486.52
  6. Step 6: Final answer
    x = 705,074.45

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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.