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Finding the Fourth Proportional to 614,752, 848,383.68 and 346,480

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Solution

The fourth proportional to 614,752, 848,383.68 and 346,480 is: 478,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,752 : 848,383.68 = 346,480 : x
  2. Step 2: Convert to fraction form
    614,752/848,383.68 = 346,480/x
  3. Step 3: Cross multiply
    614,752x = 848,383.68 × 346,480
  4. Step 4: Simplify right side
    614,752x = 293,947,977,446.40
  5. Step 5: Solve for x
    x = 293,947,977,446.40/614,752
  6. Step 6: Final answer
    x = 478,157.01

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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.