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Finding the Fourth Proportional to 318,702.80, 478,111.80 and 160,533.20

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Solution

The fourth proportional to 318,702.80, 478,111.80 and 160,533.20 is: 240,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,702.80 : 478,111.80 = 160,533.20 : x
  2. Step 2: Convert to fraction form
    318,702.80/478,111.80 = 160,533.20/x
  3. Step 3: Cross multiply
    318,702.80x = 478,111.80 × 160,533.20
  4. Step 4: Simplify right side
    318,702.80x = 76,752,817,211.76
  5. Step 5: Solve for x
    x = 76,752,817,211.76/318,702.80
  6. Step 6: Final answer
    x = 240,828.81

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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.