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Finding the Fourth Proportional to 569,209.68, 785,495.88 and 311,075.24

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Solution

The fourth proportional to 569,209.68, 785,495.88 and 311,075.24 is: 429,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,209.68 : 785,495.88 = 311,075.24 : x
  2. Step 2: Convert to fraction form
    569,209.68/785,495.88 = 311,075.24/x
  3. Step 3: Cross multiply
    569,209.68x = 785,495.88 × 311,075.24
  4. Step 4: Simplify right side
    569,209.68x = 244,348,315,462.53
  5. Step 5: Solve for x
    x = 244,348,315,462.53/569,209.68
  6. Step 6: Final answer
    x = 429,276.46

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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.