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Finding the Fourth Proportional to 649,447,987.50, 896,335,262.55 and 511,258,630.86

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Solution

The fourth proportional to 649,447,987.50, 896,335,262.55 and 511,258,630.86 is: 705,613,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,447,987.50 : 896,335,262.55 = 511,258,630.86 : x
  2. Step 2: Convert to fraction form
    649,447,987.50/896,335,262.55 = 511,258,630.86/x
  3. Step 3: Cross multiply
    649,447,987.50x = 896,335,262.55 × 511,258,630.86
  4. Step 4: Simplify right side
    649,447,987.50x = 458,259,139,122,851,648
  5. Step 5: Solve for x
    x = 458,259,139,122,851,648/649,447,987.50
  6. Step 6: Final answer
    x = 705,613,302.29

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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.