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Finding the Fourth Proportional to 978,539.10, 1,467,808.65 and 417,630.30

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Solution

The fourth proportional to 978,539.10, 1,467,808.65 and 417,630.30 is: 626,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,539.10 : 1,467,808.65 = 417,630.30 : x
  2. Step 2: Convert to fraction form
    978,539.10/1,467,808.65 = 417,630.30/x
  3. Step 3: Cross multiply
    978,539.10x = 1,467,808.65 × 417,630.30
  4. Step 4: Simplify right side
    978,539.10x = 613,001,366,842.10
  5. Step 5: Solve for x
    x = 613,001,366,842.10/978,539.10
  6. Step 6: Final answer
    x = 626,445.45

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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.