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Finding the Fourth Proportional to 570,780.19, 788,206.13 and 427,291.12

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Solution

The fourth proportional to 570,780.19, 788,206.13 and 427,291.12 is: 590,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,780.19 : 788,206.13 = 427,291.12 : x
  2. Step 2: Convert to fraction form
    570,780.19/788,206.13 = 427,291.12/x
  3. Step 3: Cross multiply
    570,780.19x = 788,206.13 × 427,291.12
  4. Step 4: Simplify right side
    570,780.19x = 336,793,480,078.57
  5. Step 5: Solve for x
    x = 336,793,480,078.57/570,780.19
  6. Step 6: Final answer
    x = 590,058.11

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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.