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Finding the Fourth Proportional to 651,815.10, 978,160.05 and 296,646.30

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Solution

The fourth proportional to 651,815.10, 978,160.05 and 296,646.30 is: 445,168.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,815.10 : 978,160.05 = 296,646.30 : x
  2. Step 2: Convert to fraction form
    651,815.10/978,160.05 = 296,646.30/x
  3. Step 3: Cross multiply
    651,815.10x = 978,160.05 × 296,646.30
  4. Step 4: Simplify right side
    651,815.10x = 290,167,559,640.32
  5. Step 5: Solve for x
    x = 290,167,559,640.32/651,815.10
  6. Step 6: Final answer
    x = 445,168.51

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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.