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Finding the Fourth Proportional to 288,153.15, 432,195.71 and 77,807.49

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Solution

The fourth proportional to 288,153.15, 432,195.71 and 77,807.49 is: 116,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,153.15 : 432,195.71 = 77,807.49 : x
  2. Step 2: Convert to fraction form
    288,153.15/432,195.71 = 77,807.49/x
  3. Step 3: Cross multiply
    288,153.15x = 432,195.71 × 77,807.49
  4. Step 4: Simplify right side
    288,153.15x = 33,628,062,994.83
  5. Step 5: Solve for x
    x = 33,628,062,994.83/288,153.15
  6. Step 6: Final answer
    x = 116,702.05

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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.