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Finding the Fourth Proportional to 569,317.00, 785,643.77 and 311,182.35

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Solution

The fourth proportional to 569,317.00, 785,643.77 and 311,182.35 is: 429,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,317.00 : 785,643.77 = 311,182.35 : x
  2. Step 2: Convert to fraction form
    569,317.00/785,643.77 = 311,182.35/x
  3. Step 3: Cross multiply
    569,317.00x = 785,643.77 × 311,182.35
  4. Step 4: Simplify right side
    569,317.00x = 244,478,470,683.24
  5. Step 5: Solve for x
    x = 244,478,470,683.24/569,317.00
  6. Step 6: Final answer
    x = 429,424.16

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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.