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Finding the Fourth Proportional to 298,931,187.60, 448,396,781.40 and 137,688,051.60

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Solution

The fourth proportional to 298,931,187.60, 448,396,781.40 and 137,688,051.60 is: 206,532,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,931,187.60 : 448,396,781.40 = 137,688,051.60 : x
  2. Step 2: Convert to fraction form
    298,931,187.60/448,396,781.40 = 137,688,051.60/x
  3. Step 3: Cross multiply
    298,931,187.60x = 448,396,781.40 × 137,688,051.60
  4. Step 4: Simplify right side
    298,931,187.60x = 61,738,879,174,677,112
  5. Step 5: Solve for x
    x = 61,738,879,174,677,112/298,931,187.60
  6. Step 6: Final answer
    x = 206,532,077.40

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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.