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Finding the Fourth Proportional to 305,565.80, 458,348.70 and 242,580.20

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Solution

The fourth proportional to 305,565.80, 458,348.70 and 242,580.20 is: 363,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,565.80 : 458,348.70 = 242,580.20 : x
  2. Step 2: Convert to fraction form
    305,565.80/458,348.70 = 242,580.20/x
  3. Step 3: Cross multiply
    305,565.80x = 458,348.70 × 242,580.20
  4. Step 4: Simplify right side
    305,565.80x = 111,186,319,315.74
  5. Step 5: Solve for x
    x = 111,186,319,315.74/305,565.80
  6. Step 6: Final answer
    x = 363,870.30

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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.