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Finding the Fourth Proportional to 421,710.79, 632,466.82 and 155,326.63

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Solution

The fourth proportional to 421,710.79, 632,466.82 and 155,326.63 is: 232,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,710.79 : 632,466.82 = 155,326.63 : x
  2. Step 2: Convert to fraction form
    421,710.79/632,466.82 = 155,326.63/x
  3. Step 3: Cross multiply
    421,710.79x = 632,466.82 × 155,326.63
  4. Step 4: Simplify right side
    421,710.79x = 98,238,939,737.42
  5. Step 5: Solve for x
    x = 98,238,939,737.42/421,710.79
  6. Step 6: Final answer
    x = 232,953.35

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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.