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Finding the Fourth Proportional to 289,482.48, 399,510.72 and 162,184.32

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Solution

The fourth proportional to 289,482.48, 399,510.72 and 162,184.32 is: 223,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,482.48 : 399,510.72 = 162,184.32 : x
  2. Step 2: Convert to fraction form
    289,482.48/399,510.72 = 162,184.32/x
  3. Step 3: Cross multiply
    289,482.48x = 399,510.72 × 162,184.32
  4. Step 4: Simplify right side
    289,482.48x = 64,794,374,455.91
  5. Step 5: Solve for x
    x = 64,794,374,455.91/289,482.48
  6. Step 6: Final answer
    x = 223,828.31

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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.