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Finding the Fourth Proportional to 614,749, 848,379.54 and 346,477

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Solution

The fourth proportional to 614,749, 848,379.54 and 346,477 is: 478,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,749 : 848,379.54 = 346,477 : x
  2. Step 2: Convert to fraction form
    614,749/848,379.54 = 346,477/x
  3. Step 3: Cross multiply
    614,749x = 848,379.54 × 346,477
  4. Step 4: Simplify right side
    614,749x = 293,943,997,880.58
  5. Step 5: Solve for x
    x = 293,943,997,880.58/614,749
  6. Step 6: Final answer
    x = 478,152.87

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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.