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Finding the Fourth Proportional to 506,070.05, 698,377.37 and 291,205.80

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Solution

The fourth proportional to 506,070.05, 698,377.37 and 291,205.80 is: 401,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,070.05 : 698,377.37 = 291,205.80 : x
  2. Step 2: Convert to fraction form
    506,070.05/698,377.37 = 291,205.80/x
  3. Step 3: Cross multiply
    506,070.05x = 698,377.37 × 291,205.80
  4. Step 4: Simplify right side
    506,070.05x = 203,371,539,276.72
  5. Step 5: Solve for x
    x = 203,371,539,276.72/506,070.05
  6. Step 6: Final answer
    x = 401,864.41

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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.