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Finding the Fourth Proportional to 507,021.94, 698,881.60 and 343,627.53

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Solution

The fourth proportional to 507,021.94, 698,881.60 and 343,627.53 is: 473,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,021.94 : 698,881.60 = 343,627.53 : x
  2. Step 2: Convert to fraction form
    507,021.94/698,881.60 = 343,627.53/x
  3. Step 3: Cross multiply
    507,021.94x = 698,881.60 × 343,627.53
  4. Step 4: Simplify right side
    507,021.94x = 240,154,957,970.45
  5. Step 5: Solve for x
    x = 240,154,957,970.45/507,021.94
  6. Step 6: Final answer
    x = 473,657.92

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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.