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Finding the Fourth Proportional to 478,159.25, 716,700.62 and 208,514.30

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Solution

The fourth proportional to 478,159.25, 716,700.62 and 208,514.30 is: 312,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,159.25 : 716,700.62 = 208,514.30 : x
  2. Step 2: Convert to fraction form
    478,159.25/716,700.62 = 208,514.30/x
  3. Step 3: Cross multiply
    478,159.25x = 716,700.62 × 208,514.30
  4. Step 4: Simplify right side
    478,159.25x = 149,442,323,462.79
  5. Step 5: Solve for x
    x = 149,442,323,462.79/478,159.25
  6. Step 6: Final answer
    x = 312,536.72

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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.