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Finding the Fourth Proportional to 706,433.72, 974,848.86 and 400,530.68

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Solution

The fourth proportional to 706,433.72, 974,848.86 and 400,530.68 is: 552,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,433.72 : 974,848.86 = 400,530.68 : x
  2. Step 2: Convert to fraction form
    706,433.72/974,848.86 = 400,530.68/x
  3. Step 3: Cross multiply
    706,433.72x = 974,848.86 × 400,530.68
  4. Step 4: Simplify right side
    706,433.72x = 390,456,876,793.03
  5. Step 5: Solve for x
    x = 390,456,876,793.03/706,433.72
  6. Step 6: Final answer
    x = 552,715.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.