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Finding the Fourth Proportional to 305,203.90, 457,805.85 and 139,315.90

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Solution

The fourth proportional to 305,203.90, 457,805.85 and 139,315.90 is: 208,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,203.90 : 457,805.85 = 139,315.90 : x
  2. Step 2: Convert to fraction form
    305,203.90/457,805.85 = 139,315.90/x
  3. Step 3: Cross multiply
    305,203.90x = 457,805.85 × 139,315.90
  4. Step 4: Simplify right side
    305,203.90x = 63,779,634,018.02
  5. Step 5: Solve for x
    x = 63,779,634,018.02/305,203.90
  6. Step 6: Final answer
    x = 208,973.85

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1.5x scale

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.