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Finding the Fourth Proportional to 421,956.16, 581,602.68 and 314,486.98

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Solution

The fourth proportional to 421,956.16, 581,602.68 and 314,486.98 is: 433,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,956.16 : 581,602.68 = 314,486.98 : x
  2. Step 2: Convert to fraction form
    421,956.16/581,602.68 = 314,486.98/x
  3. Step 3: Cross multiply
    421,956.16x = 581,602.68 × 314,486.98
  4. Step 4: Simplify right side
    421,956.16x = 182,906,470,393.11
  5. Step 5: Solve for x
    x = 182,906,470,393.11/421,956.16
  6. Step 6: Final answer
    x = 433,472.69

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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.