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Finding the Fourth Proportional to 346,423.50, 478,065.87 and 187,447.50

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Solution

The fourth proportional to 346,423.50, 478,065.87 and 187,447.50 is: 258,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,423.50 : 478,065.87 = 187,447.50 : x
  2. Step 2: Convert to fraction form
    346,423.50/478,065.87 = 187,447.50/x
  3. Step 3: Cross multiply
    346,423.50x = 478,065.87 × 187,447.50
  4. Step 4: Simplify right side
    346,423.50x = 89,612,252,166.83
  5. Step 5: Solve for x
    x = 89,612,252,166.83/346,423.50
  6. Step 6: Final answer
    x = 258,678.33

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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.