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Finding the Fourth Proportional to 612,984.51, 920,032.97 and 313,671.87

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Solution

The fourth proportional to 612,984.51, 920,032.97 and 313,671.87 is: 470,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,984.51 : 920,032.97 = 313,671.87 : x
  2. Step 2: Convert to fraction form
    612,984.51/920,032.97 = 313,671.87/x
  3. Step 3: Cross multiply
    612,984.51x = 920,032.97 × 313,671.87
  4. Step 4: Simplify right side
    612,984.51x = 288,588,460,593.20
  5. Step 5: Solve for x
    x = 288,588,460,593.20/612,984.51
  6. Step 6: Final answer
    x = 470,792.42

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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.