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Finding the Fourth Proportional to 614,781, 848,404.26 and 346,509

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Solution

The fourth proportional to 614,781, 848,404.26 and 346,509 is: 478,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,781 : 848,404.26 = 346,509 : x
  2. Step 2: Convert to fraction form
    614,781/848,404.26 = 346,509/x
  3. Step 3: Cross multiply
    614,781x = 848,404.26 × 346,509
  4. Step 4: Simplify right side
    614,781x = 293,979,711,728.34
  5. Step 5: Solve for x
    x = 293,979,711,728.34/614,781
  6. Step 6: Final answer
    x = 478,186.07

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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.