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Finding the Fourth Proportional to 478,166.37, 716,711.30 and 208,521.42

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Solution

The fourth proportional to 478,166.37, 716,711.30 and 208,521.42 is: 312,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,166.37 : 716,711.30 = 208,521.42 : x
  2. Step 2: Convert to fraction form
    478,166.37/716,711.30 = 208,521.42/x
  3. Step 3: Cross multiply
    478,166.37x = 716,711.30 × 208,521.42
  4. Step 4: Simplify right side
    478,166.37x = 149,449,656,963.44
  5. Step 5: Solve for x
    x = 149,449,656,963.44/478,166.37
  6. Step 6: Final answer
    x = 312,547.40

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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.