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Finding the Fourth Proportional to 507,702.63, 761,305.14 and 208,101.72

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Solution

The fourth proportional to 507,702.63, 761,305.14 and 208,101.72 is: 312,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,702.63 : 761,305.14 = 208,101.72 : x
  2. Step 2: Convert to fraction form
    507,702.63/761,305.14 = 208,101.72/x
  3. Step 3: Cross multiply
    507,702.63x = 761,305.14 × 208,101.72
  4. Step 4: Simplify right side
    507,702.63x = 158,428,909,078.84
  5. Step 5: Solve for x
    x = 158,428,909,078.84/507,702.63
  6. Step 6: Final answer
    x = 312,050.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.