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Finding the Fourth Proportional to 398,508.83, 549,925.63 and 217,216.77

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Solution

The fourth proportional to 398,508.83, 549,925.63 and 217,216.77 is: 299,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,508.83 : 549,925.63 = 217,216.77 : x
  2. Step 2: Convert to fraction form
    398,508.83/549,925.63 = 217,216.77/x
  3. Step 3: Cross multiply
    398,508.83x = 549,925.63 × 217,216.77
  4. Step 4: Simplify right side
    398,508.83x = 119,453,069,088.82
  5. Step 5: Solve for x
    x = 119,453,069,088.82/398,508.83
  6. Step 6: Final answer
    x = 299,750.12

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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.