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Finding the Fourth Proportional to 978,152.70, 1,467,666.45 and 472,518.30

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Solution

The fourth proportional to 978,152.70, 1,467,666.45 and 472,518.30 is: 708,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,152.70 : 1,467,666.45 = 472,518.30 : x
  2. Step 2: Convert to fraction form
    978,152.70/1,467,666.45 = 472,518.30/x
  3. Step 3: Cross multiply
    978,152.70x = 1,467,666.45 × 472,518.30
  4. Step 4: Simplify right side
    978,152.70x = 693,499,255,921.04
  5. Step 5: Solve for x
    x = 693,499,255,921.04/978,152.70
  6. Step 6: Final answer
    x = 708,988.75

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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.