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Finding the Fourth Proportional to 565,554.98, 780,432.90 and 310,906.10

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Solution

The fourth proportional to 565,554.98, 780,432.90 and 310,906.10 is: 429,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,554.98 : 780,432.90 = 310,906.10 : x
  2. Step 2: Convert to fraction form
    565,554.98/780,432.90 = 310,906.10/x
  3. Step 3: Cross multiply
    565,554.98x = 780,432.90 × 310,906.10
  4. Step 4: Simplify right side
    565,554.98x = 242,641,349,250.69
  5. Step 5: Solve for x
    x = 242,641,349,250.69/565,554.98
  6. Step 6: Final answer
    x = 429,032.29

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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.