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Finding the Fourth Proportional to 287,407.58, 431,133.24 and 97,809.26

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Solution

The fourth proportional to 287,407.58, 431,133.24 and 97,809.26 is: 146,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,407.58 : 431,133.24 = 97,809.26 : x
  2. Step 2: Convert to fraction form
    287,407.58/431,133.24 = 97,809.26/x
  3. Step 3: Cross multiply
    287,407.58x = 431,133.24 × 97,809.26
  4. Step 4: Simplify right side
    287,407.58x = 42,168,823,165.80
  5. Step 5: Solve for x
    x = 42,168,823,165.80/287,407.58
  6. Step 6: Final answer
    x = 146,721.33

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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.