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Finding the Fourth Proportional to 569,315.17, 785,658.05 and 311,192.47

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Solution

The fourth proportional to 569,315.17, 785,658.05 and 311,192.47 is: 429,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,315.17 : 785,658.05 = 311,192.47 : x
  2. Step 2: Convert to fraction form
    569,315.17/785,658.05 = 311,192.47/x
  3. Step 3: Cross multiply
    569,315.17x = 785,658.05 × 311,192.47
  4. Step 4: Simplify right side
    569,315.17x = 244,490,869,154.88
  5. Step 5: Solve for x
    x = 244,490,869,154.88/569,315.17
  6. Step 6: Final answer
    x = 429,447.31

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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.