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Finding the Fourth Proportional to 559,999.96, 772,798.10 and 305,350.52

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Solution

The fourth proportional to 559,999.96, 772,798.10 and 305,350.52 is: 421,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,999.96 : 772,798.10 = 305,350.52 : x
  2. Step 2: Convert to fraction form
    559,999.96/772,798.10 = 305,350.52/x
  3. Step 3: Cross multiply
    559,999.96x = 772,798.10 × 305,350.52
  4. Step 4: Simplify right side
    559,999.96x = 235,974,301,690.01
  5. Step 5: Solve for x
    x = 235,974,301,690.01/559,999.96
  6. Step 6: Final answer
    x = 421,382.71

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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.