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Finding the Fourth Proportional to 319,411.46, 440,648.61 and 210,374.93

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Solution

The fourth proportional to 319,411.46, 440,648.61 and 210,374.93 is: 290,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,411.46 : 440,648.61 = 210,374.93 : x
  2. Step 2: Convert to fraction form
    319,411.46/440,648.61 = 210,374.93/x
  3. Step 3: Cross multiply
    319,411.46x = 440,648.61 × 210,374.93
  4. Step 4: Simplify right side
    319,411.46x = 92,701,418,280.10
  5. Step 5: Solve for x
    x = 92,701,418,280.10/319,411.46
  6. Step 6: Final answer
    x = 290,225.72

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1.5x scale

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.