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Finding the Fourth Proportional to 652,503,609.86, 900,458,726.40 and 355,145,142.87

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Solution

The fourth proportional to 652,503,609.86, 900,458,726.40 and 355,145,142.87 is: 490,102,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,503,609.86 : 900,458,726.40 = 355,145,142.87 : x
  2. Step 2: Convert to fraction form
    652,503,609.86/900,458,726.40 = 355,145,142.87/x
  3. Step 3: Cross multiply
    652,503,609.86x = 900,458,726.40 × 355,145,142.87
  4. Step 4: Simplify right side
    652,503,609.86x = 319,793,543,035,866,240
  5. Step 5: Solve for x
    x = 319,793,543,035,866,240/652,503,609.86
  6. Step 6: Final answer
    x = 490,102,335.38

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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.