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Finding the Fourth Proportional to 614,770, 848,389.08 and 346,498

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Solution

The fourth proportional to 614,770, 848,389.08 and 346,498 is: 478,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,770 : 848,389.08 = 346,498 : x
  2. Step 2: Convert to fraction form
    614,770/848,389.08 = 346,498/x
  3. Step 3: Cross multiply
    614,770x = 848,389.08 × 346,498
  4. Step 4: Simplify right side
    614,770x = 293,965,119,441.84
  5. Step 5: Solve for x
    x = 293,965,119,441.84/614,770
  6. Step 6: Final answer
    x = 478,170.89

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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.