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Finding the Fourth Proportional to 287,224.80, 430,856.40 and 97,682.40

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Solution

The fourth proportional to 287,224.80, 430,856.40 and 97,682.40 is: 146,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,224.80 : 430,856.40 = 97,682.40 : x
  2. Step 2: Convert to fraction form
    287,224.80/430,856.40 = 97,682.40/x
  3. Step 3: Cross multiply
    287,224.80x = 430,856.40 × 97,682.40
  4. Step 4: Simplify right side
    287,224.80x = 42,087,087,207.36
  5. Step 5: Solve for x
    x = 42,087,087,207.36/287,224.80
  6. Step 6: Final answer
    x = 146,530.13

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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.