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Finding the Fourth Proportional to 268,352,978.20, 402,316,890.90 and 147,184,430.20

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Solution

The fourth proportional to 268,352,978.20, 402,316,890.90 and 147,184,430.20 is: 220,660,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,352,978.20 : 402,316,890.90 = 147,184,430.20 : x
  2. Step 2: Convert to fraction form
    268,352,978.20/402,316,890.90 = 147,184,430.20/x
  3. Step 3: Cross multiply
    268,352,978.20x = 402,316,890.90 × 147,184,430.20
  4. Step 4: Simplify right side
    268,352,978.20x = 59,214,782,346,952,056
  5. Step 5: Solve for x
    x = 59,214,782,346,952,056/268,352,978.20
  6. Step 6: Final answer
    x = 220,660,052.83

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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.