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Finding the Fourth Proportional to 346,854, 478,658.52 and 187,878

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Solution

The fourth proportional to 346,854, 478,658.52 and 187,878 is: 259,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,854 : 478,658.52 = 187,878 : x
  2. Step 2: Convert to fraction form
    346,854/478,658.52 = 187,878/x
  3. Step 3: Cross multiply
    346,854x = 478,658.52 × 187,878
  4. Step 4: Simplify right side
    346,854x = 89,929,405,420.56
  5. Step 5: Solve for x
    x = 89,929,405,420.56/346,854
  6. Step 6: Final answer
    x = 259,271.64

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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.