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Finding the Fourth Proportional to 291,701.88, 402,637.59 and 169,225.20

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Solution

The fourth proportional to 291,701.88, 402,637.59 and 169,225.20 is: 233,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,701.88 : 402,637.59 = 169,225.20 : x
  2. Step 2: Convert to fraction form
    291,701.88/402,637.59 = 169,225.20/x
  3. Step 3: Cross multiply
    291,701.88x = 402,637.59 × 169,225.20
  4. Step 4: Simplify right side
    291,701.88x = 68,136,426,695.27
  5. Step 5: Solve for x
    x = 68,136,426,695.27/291,701.88
  6. Step 6: Final answer
    x = 233,582.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.