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Finding the Fourth Proportional to 434,615.20, 652,117.20 and 209,888.80

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Solution

The fourth proportional to 434,615.20, 652,117.20 and 209,888.80 is: 314,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,615.20 : 652,117.20 = 209,888.80 : x
  2. Step 2: Convert to fraction form
    434,615.20/652,117.20 = 209,888.80/x
  3. Step 3: Cross multiply
    434,615.20x = 652,117.20 × 209,888.80
  4. Step 4: Simplify right side
    434,615.20x = 136,872,096,567.36
  5. Step 5: Solve for x
    x = 136,872,096,567.36/434,615.20
  6. Step 6: Final answer
    x = 314,927.08

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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.