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Finding the Fourth Proportional to 569,129.34, 785,398.23 and 314,478.30

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Solution

The fourth proportional to 569,129.34, 785,398.23 and 314,478.30 is: 433,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,129.34 : 785,398.23 = 314,478.30 : x
  2. Step 2: Convert to fraction form
    569,129.34/785,398.23 = 314,478.30/x
  3. Step 3: Cross multiply
    569,129.34x = 785,398.23 × 314,478.30
  4. Step 4: Simplify right side
    569,129.34x = 246,990,700,193.41
  5. Step 5: Solve for x
    x = 246,990,700,193.41/569,129.34
  6. Step 6: Final answer
    x = 433,979.91

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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.