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Finding the Fourth Proportional to 632,702.14, 947,860.98 and 312,479.20

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Solution

The fourth proportional to 632,702.14, 947,860.98 and 312,479.20 is: 468,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,702.14 : 947,860.98 = 312,479.20 : x
  2. Step 2: Convert to fraction form
    632,702.14/947,860.98 = 312,479.20/x
  3. Step 3: Cross multiply
    632,702.14x = 947,860.98 × 312,479.20
  4. Step 4: Simplify right side
    632,702.14x = 296,186,840,741.62
  5. Step 5: Solve for x
    x = 296,186,840,741.62/632,702.14
  6. Step 6: Final answer
    x = 468,129.98

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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.