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Finding the Fourth Proportional to 648,864.47, 973,296.51 and 472,493.86

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Solution

The fourth proportional to 648,864.47, 973,296.51 and 472,493.86 is: 708,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,864.47 : 973,296.51 = 472,493.86 : x
  2. Step 2: Convert to fraction form
    648,864.47/973,296.51 = 472,493.86/x
  3. Step 3: Cross multiply
    648,864.47x = 973,296.51 × 472,493.86
  4. Step 4: Simplify right side
    648,864.47x = 459,876,620,729.34
  5. Step 5: Solve for x
    x = 459,876,620,729.34/648,864.47
  6. Step 6: Final answer
    x = 708,740.64

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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.