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Finding the Fourth Proportional to 287,280.62, 431,003.13 and 97,782.74

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Solution

The fourth proportional to 287,280.62, 431,003.13 and 97,782.74 is: 146,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,280.62 : 431,003.13 = 97,782.74 : x
  2. Step 2: Convert to fraction form
    287,280.62/431,003.13 = 97,782.74/x
  3. Step 3: Cross multiply
    287,280.62x = 431,003.13 × 97,782.74
  4. Step 4: Simplify right side
    287,280.62x = 42,144,664,844.96
  5. Step 5: Solve for x
    x = 42,144,664,844.96/287,280.62
  6. Step 6: Final answer
    x = 146,702.08

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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.