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Finding the Fourth Proportional to 465,547.54, 698,307.31 and 128,608.35

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Solution

The fourth proportional to 465,547.54, 698,307.31 and 128,608.35 is: 192,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,547.54 : 698,307.31 = 128,608.35 : x
  2. Step 2: Convert to fraction form
    465,547.54/698,307.31 = 128,608.35/x
  3. Step 3: Cross multiply
    465,547.54x = 698,307.31 × 128,608.35
  4. Step 4: Simplify right side
    465,547.54x = 89,808,150,932.04
  5. Step 5: Solve for x
    x = 89,808,150,932.04/465,547.54
  6. Step 6: Final answer
    x = 192,908.66

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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.