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Finding the Fourth Proportional to 565,851.68, 780,890.10 and 311,209.55

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Solution

The fourth proportional to 565,851.68, 780,890.10 and 311,209.55 is: 429,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,851.68 : 780,890.10 = 311,209.55 : x
  2. Step 2: Convert to fraction form
    565,851.68/780,890.10 = 311,209.55/x
  3. Step 3: Cross multiply
    565,851.68x = 780,890.10 × 311,209.55
  4. Step 4: Simplify right side
    565,851.68x = 243,020,456,620.46
  5. Step 5: Solve for x
    x = 243,020,456,620.46/565,851.68
  6. Step 6: Final answer
    x = 429,477.31

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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.