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Finding the Fourth Proportional to 614,902, 848,564.76 and 346,630

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Solution

The fourth proportional to 614,902, 848,564.76 and 346,630 is: 478,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,902 : 848,564.76 = 346,630 : x
  2. Step 2: Convert to fraction form
    614,902/848,564.76 = 346,630/x
  3. Step 3: Cross multiply
    614,902x = 848,564.76 × 346,630
  4. Step 4: Simplify right side
    614,902x = 294,138,002,758.80
  5. Step 5: Solve for x
    x = 294,138,002,758.80/614,902
  6. Step 6: Final answer
    x = 478,349.40

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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.