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Finding the Fourth Proportional to 978,053.10, 1,467,079.65 and 417,144.30

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Solution

The fourth proportional to 978,053.10, 1,467,079.65 and 417,144.30 is: 625,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,053.10 : 1,467,079.65 = 417,144.30 : x
  2. Step 2: Convert to fraction form
    978,053.10/1,467,079.65 = 417,144.30/x
  3. Step 3: Cross multiply
    978,053.10x = 1,467,079.65 × 417,144.30
  4. Step 4: Simplify right side
    978,053.10x = 611,983,913,643.50
  5. Step 5: Solve for x
    x = 611,983,913,643.50/978,053.10
  6. Step 6: Final answer
    x = 625,716.45

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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.