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Finding the Fourth Proportional to 602,009.28, 830,782.17 and 330,102

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Solution

The fourth proportional to 602,009.28, 830,782.17 and 330,102 is: 455,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,009.28 : 830,782.17 = 330,102 : x
  2. Step 2: Convert to fraction form
    602,009.28/830,782.17 = 330,102/x
  3. Step 3: Cross multiply
    602,009.28x = 830,782.17 × 330,102
  4. Step 4: Simplify right side
    602,009.28x = 274,242,855,881.34
  5. Step 5: Solve for x
    x = 274,242,855,881.34/602,009.28
  6. Step 6: Final answer
    x = 455,545.89

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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.