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Finding the Fourth Proportional to 614,769, 848,387.70 and 346,497

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Solution

The fourth proportional to 614,769, 848,387.70 and 346,497 is: 478,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,769 : 848,387.70 = 346,497 : x
  2. Step 2: Convert to fraction form
    614,769/848,387.70 = 346,497/x
  3. Step 3: Cross multiply
    614,769x = 848,387.70 × 346,497
  4. Step 4: Simplify right side
    614,769x = 293,963,792,886.90
  5. Step 5: Solve for x
    x = 293,963,792,886.90/614,769
  6. Step 6: Final answer
    x = 478,169.51

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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.