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Finding the Fourth Proportional to 513,291.54, 708,386.13 and 298,417.98

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Solution

The fourth proportional to 513,291.54, 708,386.13 and 298,417.98 is: 411,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,291.54 : 708,386.13 = 298,417.98 : x
  2. Step 2: Convert to fraction form
    513,291.54/708,386.13 = 298,417.98/x
  3. Step 3: Cross multiply
    513,291.54x = 708,386.13 × 298,417.98
  4. Step 4: Simplify right side
    513,291.54x = 211,395,157,974.62
  5. Step 5: Solve for x
    x = 211,395,157,974.62/513,291.54
  6. Step 6: Final answer
    x = 411,842.28

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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.