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Finding the Fourth Proportional to 287,285.10, 430,927.65 and 100,272.30

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Solution

The fourth proportional to 287,285.10, 430,927.65 and 100,272.30 is: 150,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,285.10 : 430,927.65 = 100,272.30 : x
  2. Step 2: Convert to fraction form
    287,285.10/430,927.65 = 100,272.30/x
  3. Step 3: Cross multiply
    287,285.10x = 430,927.65 × 100,272.30
  4. Step 4: Simplify right side
    287,285.10x = 43,210,106,599.10
  5. Step 5: Solve for x
    x = 43,210,106,599.10/287,285.10
  6. Step 6: Final answer
    x = 150,408.45

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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.