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Finding the Fourth Proportional to 398,365.94, 549,751.16 and 217,077.81

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Solution

The fourth proportional to 398,365.94, 549,751.16 and 217,077.81 is: 299,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,365.94 : 549,751.16 = 217,077.81 : x
  2. Step 2: Convert to fraction form
    398,365.94/549,751.16 = 217,077.81/x
  3. Step 3: Cross multiply
    398,365.94x = 549,751.16 × 217,077.81
  4. Step 4: Simplify right side
    398,365.94x = 119,338,778,400.45
  5. Step 5: Solve for x
    x = 119,338,778,400.45/398,365.94
  6. Step 6: Final answer
    x = 299,570.74

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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.