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Finding the Fourth Proportional to 570,783.68, 788,210.97 and 427,294.61

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Solution

The fourth proportional to 570,783.68, 788,210.97 and 427,294.61 is: 590,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,783.68 : 788,210.97 = 427,294.61 : x
  2. Step 2: Convert to fraction form
    570,783.68/788,210.97 = 427,294.61/x
  3. Step 3: Cross multiply
    570,783.68x = 788,210.97 × 427,294.61
  4. Step 4: Simplify right side
    570,783.68x = 336,798,296,436.25
  5. Step 5: Solve for x
    x = 336,798,296,436.25/570,783.68
  6. Step 6: Final answer
    x = 590,062.94

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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.