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Finding the Fourth Proportional to 570,788.05, 788,217 and 427,298.98

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Solution

The fourth proportional to 570,788.05, 788,217 and 427,298.98 is: 590,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,788.05 : 788,217 = 427,298.98 : x
  2. Step 2: Convert to fraction form
    570,788.05/788,217 = 427,298.98/x
  3. Step 3: Cross multiply
    570,788.05x = 788,217 × 427,298.98
  4. Step 4: Simplify right side
    570,788.05x = 336,804,320,118.66
  5. Step 5: Solve for x
    x = 336,804,320,118.66/570,788.05
  6. Step 6: Final answer
    x = 590,068.98

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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.