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Finding the Fourth Proportional to 978,870,713.75, 1,350,874,214.46 and 549,783,618.91

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Solution

The fourth proportional to 978,870,713.75, 1,350,874,214.46 and 549,783,618.91 is: 758,719,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,870,713.75 : 1,350,874,214.46 = 549,783,618.91 : x
  2. Step 2: Convert to fraction form
    978,870,713.75/1,350,874,214.46 = 549,783,618.91/x
  3. Step 3: Cross multiply
    978,870,713.75x = 1,350,874,214.46 × 549,783,618.91
  4. Step 4: Simplify right side
    978,870,713.75x = 742,688,514,318,022,272
  5. Step 5: Solve for x
    x = 742,688,514,318,022,272/978,870,713.75
  6. Step 6: Final answer
    x = 758,719,720.48

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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.