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Finding the Fourth Proportional to 398,345.98, 549,710.34 and 217,059.48

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Solution

The fourth proportional to 398,345.98, 549,710.34 and 217,059.48 is: 299,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,345.98 : 549,710.34 = 217,059.48 : x
  2. Step 2: Convert to fraction form
    398,345.98/549,710.34 = 217,059.48/x
  3. Step 3: Cross multiply
    398,345.98x = 549,710.34 × 217,059.48
  4. Step 4: Simplify right side
    398,345.98x = 119,319,840,551.02
  5. Step 5: Solve for x
    x = 119,319,840,551.02/398,345.98
  6. Step 6: Final answer
    x = 299,538.21

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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.