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Finding the Fourth Proportional to 569,321.12, 785,703.84 and 314,666.80

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Solution

The fourth proportional to 569,321.12, 785,703.84 and 314,666.80 is: 434,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,321.12 : 785,703.84 = 314,666.80 : x
  2. Step 2: Convert to fraction form
    569,321.12/785,703.84 = 314,666.80/x
  3. Step 3: Cross multiply
    569,321.12x = 785,703.84 × 314,666.80
  4. Step 4: Simplify right side
    569,321.12x = 247,234,913,080.51
  5. Step 5: Solve for x
    x = 247,234,913,080.51/569,321.12
  6. Step 6: Final answer
    x = 434,262.68

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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.