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Finding the Fourth Proportional to 289,348, 434,017.52 and 78,985.32

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Solution

The fourth proportional to 289,348, 434,017.52 and 78,985.32 is: 118,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,348 : 434,017.52 = 78,985.32 : x
  2. Step 2: Convert to fraction form
    289,348/434,017.52 = 78,985.32/x
  3. Step 3: Cross multiply
    289,348x = 434,017.52 × 78,985.32
  4. Step 4: Simplify right side
    289,348x = 34,281,012,702.81
  5. Step 5: Solve for x
    x = 34,281,012,702.81/289,348
  6. Step 6: Final answer
    x = 118,476.76

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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.