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Finding the Fourth Proportional to 554,429.80, 830,478.30 and 461,117.80

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Solution

The fourth proportional to 554,429.80, 830,478.30 and 461,117.80 is: 690,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,429.80 : 830,478.30 = 461,117.80 : x
  2. Step 2: Convert to fraction form
    554,429.80/830,478.30 = 461,117.80/x
  3. Step 3: Cross multiply
    554,429.80x = 830,478.30 × 461,117.80
  4. Step 4: Simplify right side
    554,429.80x = 382,948,326,643.74
  5. Step 5: Solve for x
    x = 382,948,326,643.74/554,429.80
  6. Step 6: Final answer
    x = 690,706.61

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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.