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Finding the Fourth Proportional to 287,161.60, 432,656.64 and 264,490.24

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Solution

The fourth proportional to 287,161.60, 432,656.64 and 264,490.24 is: 398,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,161.60 : 432,656.64 = 264,490.24 : x
  2. Step 2: Convert to fraction form
    287,161.60/432,656.64 = 264,490.24/x
  3. Step 3: Cross multiply
    287,161.60x = 432,656.64 × 264,490.24
  4. Step 4: Simplify right side
    287,161.60x = 114,433,458,551.19
  5. Step 5: Solve for x
    x = 114,433,458,551.19/287,161.60
  6. Step 6: Final answer
    x = 398,498.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.