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Finding the Fourth Proportional to 450,806.40, 675,136.13 and 260,866.35

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Solution

The fourth proportional to 450,806.40, 675,136.13 and 260,866.35 is: 390,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,806.40 : 675,136.13 = 260,866.35 : x
  2. Step 2: Convert to fraction form
    450,806.40/675,136.13 = 260,866.35/x
  3. Step 3: Cross multiply
    450,806.40x = 675,136.13 × 260,866.35
  4. Step 4: Simplify right side
    450,806.40x = 176,120,296,681.89
  5. Step 5: Solve for x
    x = 176,120,296,681.89/450,806.40
  6. Step 6: Final answer
    x = 390,678.34

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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.