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Finding the Fourth Proportional to 477,074.61, 658,368.05 and 259,283.28

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Solution

The fourth proportional to 477,074.61, 658,368.05 and 259,283.28 is: 357,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,074.61 : 658,368.05 = 259,283.28 : x
  2. Step 2: Convert to fraction form
    477,074.61/658,368.05 = 259,283.28/x
  3. Step 3: Cross multiply
    477,074.61x = 658,368.05 × 259,283.28
  4. Step 4: Simplify right side
    477,074.61x = 170,703,826,154.79
  5. Step 5: Solve for x
    x = 170,703,826,154.79/477,074.61
  6. Step 6: Final answer
    x = 357,813.69

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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.