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Finding the Fourth Proportional to 288,702.64, 432,930.16 and 99,182.08

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Solution

The fourth proportional to 288,702.64, 432,930.16 and 99,182.08 is: 148,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702.64 : 432,930.16 = 99,182.08 : x
  2. Step 2: Convert to fraction form
    288,702.64/432,930.16 = 99,182.08/x
  3. Step 3: Cross multiply
    288,702.64x = 432,930.16 × 99,182.08
  4. Step 4: Simplify right side
    288,702.64x = 42,938,913,763.53
  5. Step 5: Solve for x
    x = 42,938,913,763.53/288,702.64
  6. Step 6: Final answer
    x = 148,730.59

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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.