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Finding the Fourth Proportional to 565,916.76, 780,949.80 and 320,946.48

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Solution

The fourth proportional to 565,916.76, 780,949.80 and 320,946.48 is: 442,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,916.76 : 780,949.80 = 320,946.48 : x
  2. Step 2: Convert to fraction form
    565,916.76/780,949.80 = 320,946.48/x
  3. Step 3: Cross multiply
    565,916.76x = 780,949.80 × 320,946.48
  4. Step 4: Simplify right side
    565,916.76x = 250,643,089,366.70
  5. Step 5: Solve for x
    x = 250,643,089,366.70/565,916.76
  6. Step 6: Final answer
    x = 442,897.45

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1.5x scale

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.